Characters of bounded \(\widehat{\mathfrak{sl}}(2)\) modules.

DOI10.1006/JABR.2000.8326zbMath1163.17305OpenAlexW2003708519MaRDI QIDQ1582242

Jacob Greenstein

Publication date: 27 August 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8326

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (4)

Littelmann's path crystal and combinatorics of certain integrable \(\widehat{\mathfrak{sl}_{\ell+1}}\) modules of level zero. ⋮ A Chevalley-Kostant presentation of basic modules for \(\widetilde {{\mathfrak {sl}}(2)}\) and the associated affine KPRV determinants at \(q=1\) ⋮ Dynamic Computational Model of the Human Spinal Cord Connectome ⋮ Representations of Loop Kac-Moody Lie Algebras

Cites Work

• New unitary representations of loop groups
• A completion of the quantized enveloping algebra of a Kac-Moody algebra
• The admissibility of simple bounded modules for an affine Lie algebra
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