THE CAUCHY IDENTITY FOR SP(2N)

被引：52
|
作者：
SUNDARAM, S
机构：
[1] Department of Mathematics, University of Michigan, Ann Arbor
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES A | 1990年 / 53卷 / 02期
关键词：
D O I：
10.1016/0097-3165(90)90058-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A bijection establishing the Cauchy identity for Sp(2n) ∏ 1≤i≤j≤n (1-titj) ∏ i,j=1 n (1-tixj)-1 (1-tixj-1)-1 = {A figure is presented} spμ(x +1 1,...,x +1 n) sμ(t1,...,tn) is presented, using the insertion algorithm of Berele. A key element in the bijection is a new encoding of up-down tableaux. We present this as a correspondence proving the following enumerative formula for the number of up-down tableaux of length k and shape μ: {A figure is presented} k |μ|fβfμ. © 1990.
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页码：209 / 238
页数：30
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