Capelli identities for classical Lie algebras

被引：36

作者：

Molev, A ^{[1
]}

Nazarov, M

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

[2] Univ York, Dept Math, York YO1 5DD, N Yorkshire, England

来源：

MATHEMATISCHE ANNALEN | 1999年 / 313卷 / 02期

关键词：

D O I：

10.1007/s002080050263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the Capelli identity from the Lie algebra gl(N) to the other classical Lie algebras so(N) and sp(N) We employ the theory of reductive dual pairs due to Howe. Mathematics Subject Classification (1991): 17B35.

引用

页码：315 / 357

页数：43

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