Baranov2020_Article_QuantumExceptionalGroupG2AndIt.pdf (672.7 kB)
Quantum exceptional group G_2 and its semisimple conjugacy classes
journal contributionposted on 2019-07-30, 13:35 authored by Alexander Baranov, Andrey Mudrov, Vadim Ostapenko
We construct quantization of semisimple conjugacy classes of the exceptional group G = G2 along with and by means of their representations on highest weight modules over the quantum group Uq(g). With every point t of a fixed maximal torus we associate a highest weight module Mt over Uq(g) and realize the quantized polynomial algebra of the class of t by linear operators on Mt . Quantizations corresponding to points of the same orbit of the Weyl group are isomorphic.
This study is supported in part by the RFBR grant 15-01-03148.
CitationAlgebras and Representation Theory, 23, 1827–1848 (2020).
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- VoR (Version of Record)