Tensor Product Realizations of Simple Torsion Free Modules

DOI10.4153/CJM-2001-010-xzbMath0977.17005MaRDI QIDQ2715669

F. W. Lemire, Daniel Britten

Publication date: 20 May 2001

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

simple moduletensor productsimple Lie algebratorsion free module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (7)

Simple \(\mathfrak{sl}_{d+1}\)-modules from Witt algebra modules ⋮ Cuspidal \(\mathfrak{sl}_n\)-modules and deformations of certain Brauer tree algebras ⋮ A generalization of the category \(\mathcal O\) of Bernstein-Gelfand-Gelfand ⋮ Cuspidal representations of \(\mathfrak{sl}(n+1)\) ⋮ Submodule Lattice of Generalized Verma Modules ⋮ Exponentiation and Fourier transform of tensor modules of \(\mathfrak{sl}(n+1)\) ⋮ Tensor Products of Torsion FreeC_n-Modules of Finite Degree and Finite Dimensional Modules

Cites Work

• Unnamed Item
• Modules with bounded weight multiplicities for simple Lie algebras
• Classification of irreducible weight modules
• Simple C_n modules with multiplicities 1 and applications
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
• The Torsion Free Pieri Formula

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