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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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Kostant’s problem for Whittaker modules
We study the classical problem of Kostant for Whittaker modules over Lie algebras and Lie superalgebras. We give a sufficient condition for a...
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The Whittaker Plancherel theorem
The purpose of this article is to give an exposition of a proof of the distributional form of the Whittaker Plancherel Theorem. The proof is an...
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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.... -
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Whittaker Categories, Properly Stratified Categories and Fock Space Categorification for Lie Superalgebras
We study various categories of Whittaker modules over a type I Lie superalgebra realized as cokernel categories that fit into the framework of...
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WHITTAKER FUNCTIONS FROM MOTIVIC CHERN CLASSES
We prove a motivic analogue of the Weyl character formula, computing the Euler characteristic of a line bundle on a generalized ag manifold G / B ...
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Whittaker Modules for Classical Lie Superalgebras
We classify simple Whittaker modules for classical Lie superalgebras in terms of their parabolic decompositions. We establish a type of...
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Twisted Whittaker modules over \({U_q}({\mathfrak{g}\mathfrak{l}_{n + 1}})\)
As is well known, the classical nonsingular Whittaker modules over quantum groups cannot be defined for non A 1 -type. In this paper, by choosing...
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Vertex Operators, Solvable Lattice Models and Metaplectic Whittaker Functions
We show that spherical Whittaker functions on an n -fold cover of the general linear group arise naturally from the quantum Fock space representation...
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Equivariant K-theory of the semi-infinite flag manifold as a nil-DAHA module
The equivariant K -theory of the semi-infinite flag manifold, as developed recently by Kato, Naito, and Sagaki, carries commuting actions of the...
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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...