• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Articles
  • Anick complex, Hochschild cohomology, Hilbert and Poincare series of the Manturov (3,4)-group
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
April 30, 2026
HSE Researchers Compile Scientific Database for Studying Childrens Eating Habits
The database created at HSE University can serve as a foundation for studying children’s eating habits. This is outlined in the study ‘The Influence of Age, Gender, and Social-Role Factors on Children’s Compliance with Age-Based Nutritional Norms: An Experimental Study Using the Dish-I-Wish Web Application.’ The work has been carried out as part of the HSE Basic Research Programme and was presented at the XXVI April International Academic Conference named after Evgeny Yasin.
April 30, 2026
New Foresight Centre Study Identifies the Most Destructive Global Trends for Humankind
A team of researchers from the HSE International Research and Educational Foresight Centre has examined how global trends affect the quality of human life—from life expectancy to professional fulfilment. The findings of the study titled ‘Human Capital Transformation under the Influence of Global Trends’ were published in Foresight.
April 28, 2026
Scientists Develop Algorithm for Accurate Financial Time Series Forecasting
Researchers at the HSE Faculty of Computer Science benchmarked more than 200,000 model configurations for predicting financial asset prices and realised volatility, showing that performance can be improved by filtering out noise at specific frequencies in advance. This technique increased accuracy in 65% of cases. The authors also developed their own algorithm, which achieves accuracy comparable to that of the best models while requiring less computational power. The study has been published in Applied Soft Computing.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Anick complex, Hochschild cohomology, Hilbert and Poincare series of the Manturov (3,4)-group

Journal of Algebra and its Applications. 2020. Vol. 20. No. 08. P. 2150134–0.
Алхуссейн Х.
Language: English
DOI
Keywords: Hochschild cohomologyHilbert- Poincar´e seriescomplex
Similar publications
The Hochschild Cohomology of the Chinese Monoid Algebra
Алхуссейн Х., Algebra Colloquium 2022 Vol. 29 No. 04 P. 619–632
Added: March 5, 2024
The Anick Complex and the Hochschild Cohomology of the Manturov (2,3)-Group
Алхуссейн Х., Siberian Mathematical Journal 2020 Vol. 61 No. 1 P. 11–20
Added: March 5, 2024
On the Hochschild cohomology of universal enveloping associative conformal algebras
Алхуссейн Х., Колесников П. С., Journal of Mathematical Physics 2021 Vol. 62 No. 12 P. 0
Added: March 5, 2024
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
Алхуссейн Х., Колесников П. С., Journal of Mathematical Physics 2023 Vol. 64 No. 4 Article 041701
Added: March 5, 2024
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
Алхуссейн Х., Journal of Mathematical Physics 2023 Vol. 64 No. 4 Article 041701
In this work, we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal associative conformal envelope of the Virasoro Lie conformal algebra relative to the locality N = 2. In order to obtain this result, we adjust the algebraic discrete Morse ...
Added: June 6, 2023
Complexes of Negatively Charged Liposomes with Chitosan: Effect of Phase State of the Lipid Bilayer
A. A. Efimova, Abramova T. A., Popov A. S., Russian Journal of General Chemistry 2021 Vol. 91 No. 10 P. 2079–2085
Interaction of the cationic polymer chitosan with anionic liposomes has been studied. The characteristics of the polycation-liposome complex have been determined by the phase state of the lipid membrane. Chitosan adsorbed on the surface of liquid liposomes has induced transmembrane migration of anionic lipid from the inner to the outer leaflet. Liquid liposomes have retained ...
Added: October 22, 2022
Hochschild cohomology of Fermat type polynomials with non–abelian symmetries
Basalaev A., Ionov A., Journal of Geometry and Physics 2022 Vol. 174 Article 104450
For a polynomial f=x_1^n+…+x_N^n let Gf be the non–abelian maximal group of symmetries of f. This is a group generated by all g in GL(N,C), rescaling and permuting the variables, so that f(x)=f(g x). For any G subgroup in Gf we compute explicitly Hochschild cohomology of the category of G–equivariant matrix factorizations of f. We ...
Added: September 9, 2022
Cohomology Rings of the Plactic Monoid via a Grobner--Shirshov basis
Lopatkin V., Journal of Algebra and its Applications 2016 Vol. 15 No. 4 Article 1650082
In this paper, we calculate the cohomology ring and the Hochschild cohomology ring of the plactic monoid algebra via the Anick resolution using a Gröbner–Shirshov basis. ...
Added: October 29, 2021
Derivations of Leavitt path algebras
Lopatkin V., Journal of Algebra 2019 Vol. 520 P. 59–89
In this paper, we describe the K-module HH1(LK(Γ)) of outer derivations of the Leavitt path algebra LK(Γ) of a row-finite graph Γ with coefficients in an associative commutative ring K with unit. We explicitly describe a set of generators of HH1(LK(Γ)) and relations among them. We also describe a Lie algebra structure of outer derivation algebra of the Toeplitz algebra. We prove that every derivation of a ...
Added: October 29, 2021
Аппаратно-программное обеспечение для системы навигации беспилотного летательного аппарата с использованием спутниковых навигационных систем
Денисов М. В., Kaperko A., Датчики и системы 2021 № 2 С. 22–28
The issues of creating hardware and software for an unmanned aerial vehicle (UAV) are considered. Structural diagrams and layouts of the receiving and transmitting units of the navigation system, internal software for microcontrollers, allowing to read, process and transmit data from sensors of the UAV telemetry data collection and transmission system were developed. ...
Added: October 22, 2021
Gröbner–Shirshov Bases, Normal Forms, Combinatorial and Decision Problems in Algebra
Bokut L., Chen Y., Kalorkoti K. et al., World Scientific, 2020.
The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a great role in modern mathematics. It is enough to mention the quantum groups and Hopf algebra theory, the Kac–Moody and Borcherds algebra theory, the braid groups and Hecke algebra theory, the Coxeter groups and semisimple ...
Added: September 27, 2021
The Gerstenhaber–Schack complex for prestacks
Van H. D., Lowen W., Advances in Mathematics 2018 Vol. 330 P. 173–228
The aim of this work is to construct a complex which through its higher structure directly controlls deformations of general prestacks, building on the work of Gerstenhaber and Schack for presheaves of algebras. In defining a Gerstenhaber–Schack complex  for an arbitrary prestack , we have to introduce a differential with an infinite sequence of components instead of ...
Added: September 13, 2018
Hochschild-Witt complex
Kaledin D., / Series arXiv "math". 2016.
In arxiv:1602.04254, we have defined polynomial Witt vectors functor from vector spaces over a perfect field k of positive characteristic p to abelian groups. In this paper, we use polynomial Witt vectors to construct a functorial Hochschild-Witt complex WCH∗(A) for any associative unital k-algebra A, with homology groups WHH∗(A). We prove that the group WHH0(A) ...
Added: May 18, 2016
Cohomology of exact categories and (non-)additive sheaves
Kaledin D., Lowen W., Advances in Mathematics 2015 Vol. 272 P. 652–698
We use (non-)additive sheaves to introduce an (absolute) notion of Hochschild cohomology for exact categories as Ext's in a suitable bisheaf category. We compare our approach to various definitions present in the literature. ...
Added: February 9, 2015
Особенности проектирования аппаратно-программного комплекса для функциональной диагностики микроциркуляции крови
Бессонов А. С., Дронов И. В., Колбас Ю. Ю. et al., Вестник Московского государственного технического университета им. Н.Э. Баумана. Серия: Приборостроение 2013 № 1 (90) С. 65–83
Problems of designing of the medical hardware-software complex functioning on the basis of non-invasive spectrophotometric methods for measuring the blood microcirculation parameters, as well as the complex hardware and software structures are considered. The particular attention is paid to the description of computer models used at the different stages of the complex development. ...
Added: February 27, 2014
Применение подсистем моделирования тепловых и механических воздействий на конструкции РЭА
Желтов Р. Л., Малов А. В., Першин Е. О. et al., Межотраслевая информационная служба 2013 № 4 С. 59–69
In article relevance of application of computer modeling on the example of subsystems of ASONIKA-T, ASONIKA-M-3D and ASONIKA-TM of the ASONIKA software product for the analysis of standard and nonstandard designs of radio-electronic funds for influence of thermal and mechanical factors is considered. Possibilities of these subsystems are described. The technique of preparation of model ...
Added: January 9, 2014
Height of exceptional collections and Hochschild cohomology of quasiphantom categories
Kuznetsov A., Journal fuer die reine und angewandte Mathematik 2015 Vol. 2015 No. 708 P. 213–243
We define the normal Hochschild cohomology of an admissible subcategory of the derived category of coherent sheaves on a smooth projective variety $X$ --- a graded vector space which controls the restriction morphism from the Hochschild cohomology of $X$ to the Hochschild cohomology of the orthogonal complement of this admissible subcategory. When the subcategory is ...
Added: December 22, 2013
Height of exceptional collections and Hochschild cohomology of quasiphantom categories
Kuznetsov A., / Series math "arxiv.org". 2012. No. 1211.4693.
We define the normal Hochschild cohomology of an admissible subcategory of the derived category of coherent sheaves on a smooth projective variety $X$ --- a graded vector space which controls the restriction morphism from the Hochschild cohomology of $X$ to the Hochschild cohomology of the orthogonal complement of this admissible subcategory. When the subcategory is ...
Added: October 4, 2013
Теоретическая грамматика английского языка: SYNTAX
Kiseleva S. V., СПб.: Издательство СПбГУЭФ, 2012.
Пособие ставит своей целью ознакомить студентов с научными представлениями о синтаксисе современного английского языка, развить умение пользоваться понятийным аппаратом дисциплины, научить применять полученные теоретические знания для анализа конкретного языкового материала. Пособие представляет собой комплекс лекционных тем, различных грамматических упражнений и тестов для закрепления материала, предусмотренного учебной программой. ...
Added: January 21, 2013
Reflection equation algebra in braided geometry
Gurevich D., Pyatov P. N., Saponov P. A., Journal of Generalized Lie Theory and Applications 2008 Vol. 2 No. 3 P. 162–174
Braided geometry is a sort of the noncommutative geometry related to a braiding. The central role in this geometry is played by the reflection equation algebra associated with a braiding of the Hecke type. Using this algebra, we introduce braided versions of the Lie algebras gl(n) and sl(n). We further define braided analogs of the coadjoint ...
Added: October 16, 2012
The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
Markaryan N. S., Journal of London Mathematical Society 2009 Vol. 79 No. 79(2) P. 129–143
We develop a formalism involving Atiyah classes of sheaves on a smooth manifold, Hochschild chain and cochain complexes. As an application we prove a version of the Riemann–Roch theorem. ...
Added: October 12, 2012
Hochschild (co)homology of the second kind I
Polishchuk A., Positselski L., Transactions of the American Mathematical Society 2012 Vol. 364 No. 10 P. 5311–5368
We define and study the Hochschild (co)homology of the second kind (known also as the Borel-Moore Hochschild homology and the compactly supported Hochschild cohomology) for curved DG categories. An isomorphism between the Hochschild (co)homology of the second kind of a CDG-category B and the same of the DG category C of right CDG-modules over B, ...
Added: June 27, 2012
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit