Irreducible representations of quantum solvable algebras at roots of 1

Details Irreducible representations of quantum solvable algebras at roots of 1 Irreducible representations of quantum solvable algebras at roots of 1

2003-05-27

arxiv.org/abs/math/0305376v1

Mathematics

Quantum Algebra

23 pages

Scientific paper

We study the irreducible representations of quantum solvable algebras at
roots of 1 which lie over a point of the variety of center. We characterize the
quiver of fiber algebra and present the formulas on the dimension and the
number of these representations in terms of Poisson structure of the variety of
center.

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