Braid group action and quantum affine algebras

Research output: Contribution to journalArticlepeer-review

193 Scopus citations

Abstract

We lift the lattice of translations in the extended affine Weyl group to a braid group action on the quantum affine algebra. This action fixes the Heisenberg subalgebra pointwise. Loop-like generators of the algebra are obtained which satisfy the relations of Drinfel'd's new realization. Coproduct formulas are given and a PBW type basis is constructed.

Original languageEnglish
Pages (from-to)555-568
Number of pages14
JournalCommunications in Mathematical Physics
Volume165
Issue number3
DOIs
StatePublished - Oct 1994
Externally publishedYes

Fingerprint

Dive into the research topics of 'Braid group action and quantum affine algebras'. Together they form a unique fingerprint.

Cite this