Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux

Details Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux

2011-03-08

arxiv.org/abs/1103.1456v1

Mathematics

Representation Theory

38 pages

Scientific paper

In this paper, we give an explicit combinatorial realization of the crystal B(\lambda) for an irreducible highest weight U_q(q(n))-module V(\lambda) in terms of semistandard decomposition tableaux. We present an insertion scheme for semistandard decomposition tableaux and give algorithms of decomposing the tensor product of q(n)-crystals. Consequently, we obtain explicit combinatorial descriptions of the shifted Littlewood-Richardson coefficients.

Affiliated with

Also associated with

No associations

Rating

Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux 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 Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82135