Tensor Products and Whittaker Vectors for Quantum Groups

DOI10.1080/00927870701326387zbMath1127.17019OpenAlexW2087389805MaRDI QIDQ5308803

Matthew Ondrus

Publication date: 8 October 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701326387

zbMATH Keywords

quantum grouptensor productWhittaker module

Mathematics Subject Classification ID

Related Items (6)

A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas ⋮ Whittaker modules over loop Virasoro algebra ⋮ Whittaker modules for Heisenberg algebras and imaginary Whittaker modules for affine Lie algebras ⋮ Blocks and modules for Whittaker pairs ⋮ Whittaker Modules over Generalized Virasoro Algebras ⋮ Whittaker modules over Virasoro-like algebra

Cites Work

• Local finiteness of the adjoint action for quantized enveloping algebras
• On the tensor product of a finite and an infinite dimensional representation
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Whittaker modules for \(U_q(\mathfrak{sl}_2)\)
• Structure of representations generated by vectors of highest weight
• Separation of Variables for Quantized Enveloping Algebras
• Lie Group Representations on Polynomial Rings
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