Periodicity of irreducible modular and quantum characters
Representation Theory
2021-02-22 v1
Abstract
For a root system R, a field K and an invertible element q in K let U be the associated quantum group, defined via Lusztig's divided powers construction. We study the irreducible characters of this algebra with integral (but not necessarily dominant) highest weight. If the l-th cyclotomic polynomial vanishes when evaluated at q, then these characters exhibit a certain l-periodicity.
Keywords
Cite
@article{arxiv.2102.09865,
title = {Periodicity of irreducible modular and quantum characters},
author = {Peter Fiebig},
journal= {arXiv preprint arXiv:2102.09865},
year = {2021}
}
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19 pages