$q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type

Details $q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type $q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type

1998-11-03

arxiv.org/abs/math/9811013v1

J. Algebra 230 (2000), 518--539.

Mathematics

Quantum Algebra

20 pages, Latex file

Scientific paper

We use the fusion construction in the twisted quantum affine algebras to obtain a unified method to deform the wedge product for classical Lie algebras. As a byproduct we uniformly realize all non-spin fundamental modules for quantized enveloping algebras of classical types, and show that they admit natural crystal bases as modules for the (derived) twisted quantum affine algebra. These crystal bases are parametrized in terms of the $q$-wedge products.

Affiliated with

Also associated with

No associations

Rating

$q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $q$-Wedge Modules for Quantized Enveloping Algebras of Classical Type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610726