Representations of quantum groups at roots of unity, Whittaker vectors and q-W algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.06.007
Abstract: Abstract Let U e ( g ) be the standard simply connected version of the Drinfeld–Jumbo quantum group at an odd m-th root of unity e. The center of U e ( g ) contains… read more here.
Keywords: whittaker vectors; quantum groups; representations quantum; roots unity ... See more keywords
Quantum generalized Heisenberg algebras and their representations
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DOI: 10.1080/00927872.2021.1959602
Abstract: We introduce and study a new class of algebras, which we name \textit{quantum generalized Heisenberg algebras} and denote by $\mathcal{H}_q (f,g)$, related to generalized Heisenberg algebras, but allowing more parameters of freedom, so as to… read more here.
Keywords: algebras representations; heisenberg algebras; heisenberg; representations quantum ... See more keywords