期刊论文详细信息
Proceedings of the Edinburgh Mathematical Society | |
EXPLICIT CAPELLI IDENTITIES FOR SKEW SYMMETRIC MATRICES | |
Kenji Kinoshita1  | |
[1] Masato Wakayama | |
关键词: Capelli identity; skew Capelli element; Pfaffian; universal enveloping algebra; invariant differential operator; Young diagram; | |
DOI : 10.1017/S0013091500001176 | |
学科分类:数学(综合) | |
来源: Cambridge University Press | |
【 摘 要 】
The main purpose of this paper is to obtain an explicit Capelli identity relating skew-symmetric matrices under the action of the general linear group $GL_N$. In particular, we give an explicit formula for the skew Capelli element in terms of the trace of powers of a matrix defined by the standard infinitesimal generators of $GL_N$.AMS 2000 Mathematics subject classification: Primary 17B35. Secondary 17B10; 15A15; 20G05
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912040531285ZK.pdf | 252KB | download |