Quantum Chevalley groups
Quantum Algebra
2012-06-12 v2 Representation Theory
Abstract
The goal of this paper is to construct quantum analogues of Chevalley groups inside completions of quantum groups or, more precisely, inside completions of Hall algebras of finitary categories. In particular, we obtain pentagonal and other identities in the quantum Chevalley groups which generalize their classical counterparts and explain Faddeev-Volkov quantum dilogarithmic identities and their recent generalizations due to Keller
Keywords
Cite
@article{arxiv.1205.7020,
title = {Quantum Chevalley groups},
author = {Arkady Berenstein and Jacob Greenstein},
journal= {arXiv preprint arXiv:1205.7020},
year = {2012}
}
Comments
AMSLaTeX+AMSrefs, 31 pages; exposition improved, misprints corrected