ON TENSOR PRODUCT DECOMPOSITION OF $\widehat{\mathfrak{sl}}(n)$ MODULES

DOI10.1142/S0219498813500540zbMath1281.17027arXiv1109.2478OpenAlexW2963326812WikidataQ57424910 ScholiaQ57424910MaRDI QIDQ2847701

Evan Wilson, Kailash C. Misra

Publication date: 11 September 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2478

zbMATH Keywords

tensor productcrystal baseaffine Lie algebraintegrable module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

• Level two standard \(\tilde A_ n\)-modules
• Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Infinite-dimensional Lie algebras and Dedekind's \(\eta\)-function
• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
• A tensor product theorem related to perfect crystals.
• Crystalizing the q-analogue of universal enveloping algebras
• Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
• Tensor products of certain modules for the generalized cartan matrix lie algebra
• Further Identities of the Rogers-Ramanujan Type

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