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Finite Dimensional Modules over Indefinite Kac–Moody Lie Algebras
In this paper, we study the finite dimensional modules over indefinite Kac–Moody Lie algebras. We prove that any Kac–Moody Lie algebra with...
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Whittaker Modules over the N = 2 Super-BMS3 Algebra
This paper focuses on the analysis of Whittaker modules and high-order Whittaker modules over the N = 2 super-BMS 3 algebra. We provide a...
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Imaginary Modules over the Affine Nappi—Witten Algebra
In this paper, we consider the imaginary highest weight modules and the imaginary Whittaker modules for the affine Nappi—Witten algebra. We show that...
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Littlewood-Richardson rule for generalized Schur Q-functions
Littlewood-Richardson rule gives the expansion formula for decomposing a product of two Schur functions as a linear sum of Schur functions, while the...
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Wild Local Structures of Automorphic Lie Algebras
We study automorphic Lie algebras using a family of evaluation maps parametrised by the representations of the associative algebra of functions. This...
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Super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras
We mainly study the super-biderivations of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we...
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Bounded Weight Modules Over the Lie Superalgebra of Cartan W-type
Let A m , n be the tensor product of the polynomial algebra in m even variables and the exterior algebra in n odd variables over the complex field
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Tensor modules over Witt superalgebras
In this paper, we study the tensor module P ⊗ M over the Witt superalgebra W
m,n + (resp. W m,n ), where P is a simple module over the Weyl... -
Enveloping Algebras of Krichever-Novikov Algebras are not Noetherian
This work is part of the overarching question of whether it is possible for the universal enveloping algebra of an infinite-dimensional Lie algebra...
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A Category of Restricted Modules for the Ovisenko-Roger Algebra
In this paper, we study a category of restricted modules for the Ovsienko-Roger algebra, which is an extension of the Virasoro algebra of its tensor...
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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...