Р.С. Авдеев, Горфинкель Н. Е. Функциональный анализ и его приложения. 2012. Т. 46. № 3.

С. 1-15.
For all spherical homogeneous spaces G/H, where G is a simply connected semisimple algebraic group and H a connected solvable subgroup of G, we compute the spectra of representations of G on spaces of regular sections of homogeneous line bundles over G/H.

Added: Feb 25, 2014

Лиманова Е. Н. В кн.: Философия. Язык. Культура (вып.4). Вып. 4. СПб.: Алетейя, 2013. С. 268-277.

Added: Jul 16, 2014

Поспелова Т. Б. В кн.: Homo Loquens: Актуальные вопросы лингвистики и методики преподавания иностранных языков (2013). Вып. 5. СПб.: Астерион, 2013. С. 277-285.

Recently there has appeared an increased necessity in publishing research results in the English language to share knowledge and experience. International scientific journals put certain requirements to the quality of the language; therefore, there arise problems concerning the standards of English as a means of scientific publication. It is known that academic style is characterized by formality, logical, coherent and cohesive presentation of arguments, abstraction, nominality, accuracy and the objective attitude of the author to facts stated. These characteristics can be achieved through various techniques of the English language, in particular, through lexical, morphological and syntactic features, which are discussed in the article. Awareness of the English lexical-grammatical system and stylistic peculiarities is considered as a necessary condition for successful inclusion in the scientific world community.

Added: Nov 17, 2013

Захаров В. А. АРГАМАК-МЕДИА, 2016.

Added: Oct 13, 2016

Р.С. Авдеев Известия Российской академии наук. Серия математическая. 2010. Т. 74. № 6.

С. 3-26.
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the representations of G on spaces of regular sections of homogeneous line bundles over G/H, including the space of regular functions on G/H. We compute the extended weight semigroups for all strictly irreducible affine spherical homogeneous spaces G/H, where G is a simply connected non-simple semisimple complex algebraic group and H is a connected closed subgroup of G. In all cases we also find the highest-weight functions corresponding to the indecomposable elements of this semigroup. Among other things, our results complete the computation of the weight semigroups for all strictly irreducible simply connected affine spherical homogeneous spaces of semisimple complex algebraic groups.

Added: Feb 25, 2014

Vladislav Podymov. In bk.: Concurrency, Specification & Programming. 24th International Workshop, CS&P 2015. Rzeszow, Poland, September 28-30, 2015. Proceedings. Vol. 2. University of Rzeszow, 2015. P. 85-96.

We present an efficient equivalence-checking algorithm for a propositional model of programs with semantics based on (what we call) progressive monoids on the finite set of statements generated by relations of a specific form. We consider arbitrary set of relations for commutativity (relations of the form ab=ba for statements a, b) and left absorption (relations of the form ab=b for statements a, b) properties. The main results are a polynomial-time decidability for the equivalence problem in the considered case, and an explicit description of an equivalence-checking algorithm which terminates in time polynomial in size of programs.

Added: Oct 11, 2015

Салибекян С. М.,

Панфилов П. Б. Нейрокомпьютеры: разработка, применение. 2011. № 11.

С. 9-17.
A new computer architecture named object-attribute is offered in the article. Computer of the architecture have all necessary properties for Artificial Intelligence: abstraction of data and program, height concurrency, isomorphism of data and program (i.e. possibility of painless changing of program and data structures), training and self-training of computer system, dataflow, integration of data and program, generation of object description from simple description to complex description, implementation of distribute computer system.

Added: Apr 12, 2012

Edited by: S. Zbigniew, L. Czaja. Vol. 1492: Proceedings of the 24th International Workshop on Concurrency, Specification and Programming. Rzeszow, Poland, September 28-30, 2015.. CEUR Workshop Proceedings, 2015.

Added: Oct 10, 2016

Калининград: Издательство Балтийского федерального университета им. И. Канта, 2015.

Added: Mar 10, 2017

Shitov Y. arxiv.org. math. Cornell University, 2014. No. 1406.2601.

We construct a nontrivial identity which holds in the semigroup of tropical 3-by-3 matrices.

Added: Mar 14, 2015

Конаков В. Д. STI. WP BRP. Издательство попечительского совета механико-математического факультета МГУ, 2012. № 2012.

Added: Dec 5, 2012

Colliot-Thélène J., Kunyavskiĭ B.,

Vladimir L. Popov et al. Compositio Mathematica. 2011. Vol. 147. No. 2.

P. 428-466.
Let k be a field of characteristic zero, let G be a connected reductive algebraic group
over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k-
rational functions on G, respectively, g. The conjugation action of G on itself induces
the adjoint action of G on g. We investigate the question whether or not the field
extensions k(G)/k(G)^G and k(g)/k(g)^G are purely transcendental. We show that the
answer is the same for k(G)/k(G)^G and k(g)/k(g)^G, and reduce the problem to the
case where G is simple. For simple groups we show that the answer is positive if G is
split of type A_n or C_n, and negative for groups of other types, except possibly G_2. A
key ingredient in the proof of the negative result is a recent formula for the unramified
Brauer group of a homogeneous space with connected stabilizers. As a byproduct of
our investigation we give an affirmative answer to a question of Grothendieck about the
existence of a rational section of the categorical quotient morphism for the conjugating
action of G on itself.

Added: Mar 17, 2013

Iss. 20. NY: Springer, 2012.

This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.

Added: Dec 19, 2012

We obtain a partial solution of the problem on the growth of the norms of exponential functions with a continuous phase in the Wiener algebra. The problem was posed by J.-P. Kahane at the International Congress of Mathematicians in Stockholm in 1962. He conjectured that (for a nonlinear phase) one can not achieve the growth slower than the logarithm of the frequency. Though the conjecture is still not confirmed, the author obtained first nontrivial results.

Added: Apr 12, 2012

Пальвелев Р., Сергеев А. Г. Труды Математического института им. В.А. Стеклова РАН. 2012. Т. 277. С. 199-214.

Added: Feb 23, 2013

We give an explicit formula for a quasi-isomorphism between the operads Hycomm (the homology of the moduli space of stable genus 0 curves) and BV/Δ (the homotopy quotient of Batalin-Vilkovisky operad by the BV-operator). In other words we derive an equivalence of Hycomm-algebras and BV-algebras enhanced with a homotopy that trivializes the BV-operator. These formulas are given in terms of the Givental graphs, and are proved in two different ways. One proof uses the Givental group action, and the other proof goes through a chain of explicit formulas on resolutions of Hycomm and BV. The second approach gives, in particular, a homological explanation of the Givental group action on Hycomm-algebras.

Added: Aug 29, 2012

V. L. Popov. Transformation Groups. 2011. Vol. 16. No. 3.

P. 827-856.
Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a
closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove
that in arbitrary G such a cross-section exists if and only if the universal covering isogeny
Ĝ → G is bijective; this answers Grothendieck's question cited in the epigraph. In
particular, for char k = 0, the converse to Steinberg's theorem holds. The existence of a
cross-section in G implies, at least for char k = 0, that the algebra k[G]G of class functions
on G is generated by rk G elements. We describe, for arbitrary G, a minimal generating
set of k[G]G and that of the representation ring of G and answer two Grothendieck's
questions on constructing generating sets of k[G]G. We prove the existence of a rational
(i.e., local) section of the quotient morphism for arbitrary G and the existence of a rational
cross-section in G (for char k = 0, this has been proved earlier); this answers the other
question cited in the epigraph. We also prove that the existence of a rational section
is equivalent to the existence of a rational W-equivariant map T- - - >G/T where T is a
maximal torus of G and W the Weyl group.

Added: Mar 16, 2013

Edited by: А. Михайлов Вып. 14. М.: Социологический факультет МГУ, 2012.

Added: Mar 14, 2013