Realization of level one representations of \(U_q(\hat{\mathfrak g})\) at a root of unity

DOI10.1215/S0012-7094-01-10816-8zbMath1024.17008arXivmath/9909118OpenAlexW1985545718MaRDI QIDQ1847837

Vyjayanthi Chari, Naihuan Jing

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9909118

zbMATH Keywords

quantum affine algebrasWeyl-Kac character formulalevel one irreducible modules

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items

A functional model for the tensor product of level \(1\) highest and level \(-1\) lowest modules for the quantum affine algebra \(U_q(\widetilde{\mathfrak{sl}}_2)\), On Weyl modules over affine Lie algebras in prime characteristic, Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type \(A\), Unnamed Item, Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\), Graded Cartan determinants of the symmetric groups, Lattice structure of modular vertex algebras, Vertex representations for Yangians of Kac-Moody algebras

Cites Work

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