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CRYSTAL BASES FOR THE QUANTUM QUEER SUPERALGEBRA AND SEMISTANDARD DECOMPOSITION TABLEAUX.
- Source :
-
Transactions of the American Mathematical Society . Jan2014, Vol. 366 Issue 1, p457-489. 33p. - Publication Year :
- 2014
-
Abstract
- In this paper, we give an explicit combinatorial realization of the crystal B(λ) for an irreducible highest weight Uq(q(n))-module V (λ) in terms of semistandard decomposition tableaux. We present an insertion scheme for semistandard decomposition tableaux and give algorithms for decomposing the tensor product of q(n)-crystals. Consequently, we obtain explicit combinatorial descriptions of the shifted Littlewood-Richardson coefficients. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 366
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 91682558
- Full Text :
- https://doi.org/10.1090/s0002-9947-2013-05866-7