Fixed rings of quantum generalized Weyl algebras
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DOI: 10.1080/00927872.2020.1755302
Abstract: Abstract Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms. We extend a theorem of… read more here.
Keywords: generalized weyl; fixed rings; rings quantum; weyl algebras ... See more keywords
Quantum generalized Heisenberg algebras and their representations
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Algebra"
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