THE RESTRICTION OF THE OUTER PLETHYSM TO A YOUNG SUBGROUP

被引：2
作者：
BRENNAN, JP
机构：
[1] Department of Mathematics, North Dakota State University Fargo, ND
来源：
COMMUNICATIONS IN ALGEBRA | 1993年 / 21卷 / 03期
关键词：
D O I：
10.1080/00927879308824606
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The restriction of the plethysm [(m)].[(n)] to Young subgroups of S(mn) is computed and it is shown that these computations yield the decomposition of [(m)].[(n)].
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页码：1029 / 1036
页数：8
相关论文
共 20 条
[11]  
James G., 1981, ENCY MATH ITS APPL, V16
[12]  
KOUENHAVEN F, 1986, THESIS UTRECHT
[13]   Invariant theory tensors and group characters [J].
Littlewood, D. E. .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1944, 239 (807) :305-365
[14]  
Littlewood D. E., 1950, THEORY GROUP CHARACT
[15]  
LITTLEWOOD DE, 1957, J LOND MATH SOC, V32, P18
[16]   The analysis of the Kronecker product of irreducible representations of the symmetric group [J].
Murnaghan, FD .
AMERICAN JOURNAL OF MATHEMATICS, 1938, 60 :761-784
[17]   PLETHYSM OF S-FUNCTIONS [J].
PLUNKETT, SP .
CANADIAN JOURNAL OF MATHEMATICS, 1972, 24 (03) :541-&
[18]   COMBINATORIAL ALGORITHMS FOR THE EXPANSION OF VARIOUS PRODUCTS OF SCHUR-FUNCTIONS [J].
REMMEL, JB .
ACTA APPLICANDAE MATHEMATICAE, 1990, 21 (1-2) :105-135
[19]  
THRALL RM, 1942, AM J MATH, V65, P331
[20]  
ZELEVINSKY AV, 1981, LECTURE NOTES MATH, V869
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