Regular nilpotent elements and quantum groups

Preprint

18 December 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9812107

Abstract

We suggest new realizations of quantum groups corresponding to complex simple Lie algebras, and of affine quantum groups. These new realizations are labeled by Coxeter elements of the corresponding Weyl group and have the following key feature: The natural counterparts of the subalgebras U(n), where n is a maximal nilpotent subalgebra in g, possess non--singular characters.

Keywords

NILPOTENT ELEMENTS
REGULAR NILPOTENT
NEW REALIZATIONS
AFFINE QUANTUM
QUANTUM GROUPS
SUBALGEBRAS
SUGGEST NEW
SINGULAR
ALGEBRAS

All Related Versions

Version 1, 1998-12-18, ArXiv
Published version: Communications in Mathematical Physics, 204 (1), 1.

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