The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra \(\widehat{\mathfrak{sl}_2}\).

DOI10.1007/s11005-014-0737-7zbMath1319.20011arXiv1411.4835OpenAlexW3122315530WikidataQ115381875 ScholiaQ115381875MaRDI QIDQ487239

Natalia V. Tsilevich, Anatoly M. Vershik

Publication date: 19 January 2015

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4835

zbMATH Keywords

affine Lie algebrasVirasoro algebrasinfinite symmetric groupSchur-Weyl representationserpentine representation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of group representations to physics and other areas of science (20C35) Representations of infinite symmetric groups (20C32)

Related Items (2)

On the relationship between combinatorial functions and representation theory ⋮ Combinatorial encoding of Bernoulli schemes and the asymptotic behavior of Young tableaux

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Principal subspace for the bosonic vertex operator \(\phi_{\sqrt {2m}}(z)\) and Jack polynomials
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Canonical basis and Macdonald polynomials
• Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator.

This page was built for publication: The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra \(\widehat{\mathfrak{sl}_2}\).