Regular nilpotent elements and quantum groups

Details Regular nilpotent elements and quantum groups Regular nilpotent elements and quantum groups

1998-12-18

arxiv.org/abs/math/9812107v1

Mathematics

Quantum Algebra

23 pages, LaTeX 2e

Scientific paper

10.1007/s002200050634

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.

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