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Author:

Liu JunLi (Liu JunLi.) | Yang ShiLin (Yang ShiLin.) (Scholars:杨士林)

Indexed by:

Scopus SCIE CSCD

Abstract:

Let U-q(osp(1 vertical bar 2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1 vertical bar 2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph of finite-dimensional irreducible modules of U-q(osp(1 vertical bar 2n)) is given. Also, the generalized Littlewood-Richardson rule for tensor product of crystal graphs is established.

Keyword:

young diagram Young tableaux quantum group crystal base

Author Community:

  • [ 1 ] [Liu JunLi]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Yang ShiLin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 杨士林

    [Yang ShiLin]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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Source :

SCIENCE CHINA-MATHEMATICS

ISSN: 1674-7283

Year: 2010

Issue: 2

Volume: 53

Page: 289-303

1 . 4 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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