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- W4384389979 abstract "Let $mathcal{A}$ be a generalized Weyl or $q$-Weyl algebra, $M$ be an $mathcal{A}$-$overline{mathcal{A}}$ bimodule. Choosing an automorphism $rho$ of $mathcal{A}$ we can define the notion of an invariant Hermitian form: $(au,v)=(u,vrho(a))$ for all $ain mathcal{A}$ and $u,vin M$. Papers [P. Etingof, D. Klyuev, E. Rains, D. Stryker. Twisted traces and positive forms on quantized Kleinian singularities of type A. SIGMA 17 (2021), 029, 31 pages, arXiv:2009.09437] and [D. Klyuev. Twisted traces and positive forms on generalized q-Weyl algebras. SIGMA 18 (2022), 009, 28 pages, arXiv:2105.12652] obtained a classification of invariant positive definite Hermitian forms in the case when $M=mathcal{A}=overline{mathcal{A}}$, the case of the regular bimodule. We obtain a classification of invariant positive definite forms on $M$ in the case when $mathcal{A}$ has no finite-dimensional representations." @default.
- W4384389979 created "2023-07-15" @default.
- W4384389979 creator A5023972714 @default.
- W4384389979 date "2023-07-12" @default.
- W4384389979 modified "2023-09-25" @default.
- W4384389979 title "Unitarizability of Harish-Chandra bimodules over generalized Weyl and $q$-Weyl algebras" @default.
- W4384389979 doi "https://doi.org/10.48550/arxiv.2307.06514" @default.
- W4384389979 hasPublicationYear "2023" @default.
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