Journal Article

Braid group actions and tensor products

Vyjayanthi Chari

in International Mathematics Research Notices

Volume 2002, issue 7, pages 357-382
Published in print January 2002 | ISSN: 1073-7928
Published online January 2002 | e-ISSN: 1687-0247 | DOI:
Braid group actions and tensor products

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We define an action of the braid group of a simple Lie algebra on the space of imaginary roots in the corresponding quantum affine algebra. We then use this action to determine an explicit condition for a tensor product of arbitrary irreducible finite-dimensional representations to be cyclic. This allows us to determine the set of points at which the corresponding R-matrix has a zero.

Journal Article.  0 words. 

Subjects: Mathematics

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