Zobrazeno 1 - 10
of 2 933
pro vyhledávání: '"Weyl algebras"'
Let $\delta$ be a derivation in a $K$-algebra $R$ and let ${\rm Aut_{\delta}}(R)$ be the isotropy group with respect to the natural conjugation action of $\rm Aut(R)$ of $K$-automorphisms on the set $\rm Der(R)$ of $K$-derivations: that is, the subgr
Externí odkaz:
http://arxiv.org/abs/2407.07021
Autor:
Marquette, Ian
We provide new insights into the solvability property of an Hamiltonian involving of the fourth Painlev\'e transcendent and its derivatives. This Hamiltonian is third order shape invariant and can also be interpreted within the context of second supe
Externí odkaz:
http://arxiv.org/abs/2407.01289
Autor:
Gaddis, Jason, Rosso, Daniele
We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence amongst m
Externí odkaz:
http://arxiv.org/abs/2406.04172
Autor:
Klyuev, Daniil
Positive twisted traces are mathematical objects that could be useful in computing certain parameters of superconformal field theories. The case when $\mathcal{A}$ is a $q$-Weyl algebra and $\rho$ is a certain antilinear automorphism of $\mathcal{A}$
Externí odkaz:
http://arxiv.org/abs/2406.13120
Akademický článek
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Autor:
Bäck, Per, Richter, Johan
We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras. We then show that the higher order hom-associative Weyl algebras are simple, and that all their one-sid
Externí odkaz:
http://arxiv.org/abs/2403.00104
Autor:
Ian Marquette
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26836-26853 (2024)
We provide new insights into the solvability property of a Hamiltonian involving the fourth Painlevé transcendent and its derivatives. This Hamiltonian is third-order shape invariant and can also be interpreted within the context of second supersymm
Externí odkaz:
https://doaj.org/article/4de7d46ad585447b9d1ee211a52840db
For a map $\varphi\!:U(\mathfrak{g})\rightarrow A$ of associative algebras, $U(\mathfrak{g})$ the universal enveloping algebra of a (complex) finite-dimensional reductive Lie algebra, the representation theory of $A$ is intimately tied to the represe
Externí odkaz:
http://arxiv.org/abs/2403.15968
Autor:
Rączka, Feliks
We study the category of modules of minimal dimension over completed Weyl algebras in equal characteristic zero. In particular we prove finiteness of de Rham cohomology of such modules.
Comment: 11 pages, comments welcome
Comment: 11 pages, comments welcome
Externí odkaz:
http://arxiv.org/abs/2402.04683
Autor:
Bera, Sanu, Mukherjee, Snehashis
In this article, both versions of multiparameter quantum Weyl algebras have been studied at the roots of unity. The center, PI degree, maximal-dimensional simple modules, and Azumaya locus have been explicitly computed for such algebras.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/2310.04048