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Whittaker Modules Over Some Generalized Weyl Algebras
In Benkart and Ondrus (Represent. Theory 13 , 141–164
2009 ), Benkart and Ondrus investigated Whittaker modules for generalized Weyl algebras.... -
Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras
We study the growth and Gelfand-Kirillov dimension (GK-dimension) of the generalized Weyl algebra (GWA) A = D ( σ, a ), where D is a polynomial algebra...
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Batalin-Vilkovisky algebra structures on Hochschild cohomology of generalized Weyl algebras
We devote to the calculation of Batalin-Vilkovisky algebra structures on the Hochschild cohomology of skew Calabi-Yau generalized Weyl algebras. We...
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Grothendieck Rings of Towers of Twisted Generalized Weyl Algebras
Twisted generalized Weyl algebras (TGWAs) A ( R , σ , t ) are defined over a base ring R by parameters σ and t , where σ is an n -tuple of automorphisms, and t ...
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Deformed Cartan matrices and generalized preprojective algebras II: general type
We propose a definition of deformed symmetrizable generalized Cartan matrices with several deformation parameters, which admit a categorical...
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GOOD FILTRATIONS FOR GENERALIZED SCHUR ALGEBRAS
Given a quasi-hereditary superalgebra A , the first author and R. Muth have defined generalized Schur bi-superalgebras T A ( n ) and proved that these...
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Shen-Larsson’s modules for simple generalized Witt algebras
In this paper, we extend the Shen-Larsson’s construction for Witt algebras to simple generalized Witt algebras and construct a class of modules for...
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Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
We generalize the results for Banach algebras of pseudodifferential operators obtained by Gröchenig and Rzeszotnik (Ann Inst Fourier 58:2279–2314,...
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Weyl type theorems in Banach algebras and hyponormal elements in \(C^{*}\) algebras
It is established that the relationships between Weyl’s theorem, Browder’s theorem, generalized Weyl’s theorem and generalized Browder’s theorem in a...
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CLUSTER ALGEBRAS FROM SURFACES AND EXTENDED AFFINE WEYL GROUPS
We characterize mutation-finite cluster algebras of rank at least 3 using positive semi-definite quadratic forms. In particular, we associate with...
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Demazure and Weyl Modules for Hyperalgebras of Twisted Current Algebras
We study finite-dimensional graded modules for hyperalgebras of twisted current algebras. In particular, we prove that local graded Weyl modules are...
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Cells in affine q-Schur algebras
We develop algebraic and geometrical approaches toward canonical bases for affine q -Schur algebras of arbitrary type introduced in this paper. A...
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2-roots for Simply Laced Weyl Groups
We introduce and study “2-roots", which are symmetrized tensor products of orthogonal roots of Kac–Moody algebras. We concentrate on the case where W ...
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Supertraces on Queerified Algebras
We describe supertraces on “queerifications” (see ar**v:2203.06917 ) of the algebras of matrices of “complex size”, algebras of observables of...