Vertex Operators,Weyl Determinant Formulae and Littlewood Duality
Vertex Operators,Weyl Determinant Formulae and Littlewood Duality
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DOI：
10.1007/s00026-015-0271-z
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发表时间：
2013-08
影响因子：
0.5
通讯作者：
N. Jing;B. Nie
中科院分区：
文献类型：
--
作者：
N. Jing;B. Nie
研究和推广了辛函数和正交Schur函数的顶点算子实现。给出了辛群和正交群的不可约特征标的行列式恒等式的新证明。我们还利用顶点算子给出了泛正交函数和辛Schur函数之间的对偶的新证明。
Vertex operator realizations of symplectic and orthogonal Schur functions are studied and expanded. New proofs of determinant identities of irreducible characters for the symplectic and orthogonal groups are given. We also give a new proof of the duality between the universal orthogonal and symplectic Schur functions using vertex operators.