Young tableaux and crystal base for U_q(osp(1|2n))  

作　　者：JunLi Liu ShiLin Yang 

出　　处：《Science China Mathematics》2010年第2期291-305,共15页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.10671016; 10771014);Beijing Natural Science Foundation (Grant No. 1062003)

摘　　要：Let Uq(osp(1|2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1|2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph of finite-dimensional irreducible modules of Uq(osp(1|2n)) is given. Also, the generalized LittlewoodRichardson rule for tensor product of crystal graphs is established.Let Uq(osp(1|2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1|2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph of finite-dimensional irreducible modules of Uq(osp(1|2n)) is given. Also, the generalized LittlewoodRichardson rule for tensor product of crystal graphs is established.

关 键 词：QUANTUM group CRYSTAL base YOUNG DIAGRAM YOUNG TABLEAUX 

分 类 号：N[自然科学总论]