The \(\widehat W\)-orbit of \(\rho\), Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of \(\mathbb Z\).

DOI10.1016/j.jpaa.2006.05.009zbMath1160.17007arXivmath/0507610OpenAlexW2108063293MaRDI QIDQ860443

Paola Cellini, Paolo Papi, Pierluigi Möseneder Frajria

Publication date: 9 January 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507610

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

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The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications

Cites Work

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• Rim hook tableaux and Kostant's \(\eta\)-function coefficients
• Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
• Affine Weyl groups as infinite permutations
• On two presentations of the affine Weyl groups of classical types
• Combinatorics of Coxeter Groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Cells for two coxeter groups
• Inversion tables and minimal left coset representatives for Weyl groups of classical type

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