(GLn, GLm)-duality and symmetric plethysm

(GLn, GLm)-duality and symmetric plethysm
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(GLn, GLm)-二元性和对称体积

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发表时间:
1987
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通讯作者:
R. Howe
R. Howe
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作者:
R. Howe

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在文[7]中,作者用经典不变论的一个特殊形式,对二元形式的不变论作了阐述。反思表明,发展的许多方面也适用于音调形式。本文的目的是明确这一更普遍的应用。对于l = 2、3和4,体积S '(Sp(n))是非常明确地计算的。
In [7] the author has given an exposition of the theory of invariants of binary forms in terms of a particular version of Classical Invariant Theory. Reflection shows that many aspects of the development apply also ton-ary forms. The purpose of this paper is to make explicit this more general application. The plethysms S’(Sp(ℂn)) are computed quite explicitly forl = 2, 3 and 4.