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Reflection equation algebra in braided geometry
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 orbits and the vector fields on a q-hyperboloid which is the simplest example of a ”braided orbit”. Besides, we present a braided version of the Cayley-Hamilton identity generalizing the result of Kantor and Trishin on the super-matrix characteristic identities.
Research target:
Philosophy, Ethics, and Religious Studies
Language:
English
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
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Bolbachan V., / Series math "arxiv.org". 2024.
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Added: July 14, 2026
Scientific publishing house Infinity, 2026.
Science Conference Proceedings combine materials of the conference – research papers and thesis reports of scientifi c workers. They examine technical, juridical and sociological aspects of research issues. Some articles deal
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In the coming millennium, the transformation of our world has become a matter
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Scientific publishing house Infinity, 2026.
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М.: ИСАА МГУ имени М.В. Ломоносова, 2023.
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Added: June 28, 2026
Vladislav L. Zhdanov, Antrushina K., Philosophies 2026 Vol. 11 No. 4 Article 102
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Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
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