Work

Quantum Chevalley groups

Year: 2012

Type: preprint

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

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1205.7020

Authors: Berenstein, Arkady, Greenstein, Jacob

Institutions: University of Oregon, University of California, Riverside

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Representation Theory, Cluster Algebras, and Canonical Bases, Representation Theory, Quantum Groups, and Canonical Bases, Categories of representations of affine algebras and related algebraic structures

OpenAlex ID: W4297086850

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