Combinatorics, transvectants and superalgebras. An elementary constructive approach to Hilbert's finiteness theorem

被引：5

作者：

Brini, A. ^{[1
]}

Regonati, F. ^{[1
]}

Teolis, A. ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy

来源：

ADVANCES IN APPLIED MATHEMATICS | 2006年 / 37卷 / 03期

关键词：

transvectants; classical invariant theory; superalgebras; Capelli's polar expansion formula; symbolic method;

D O I：

10.1016/j.aam.2005.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a constructive method to produce a minimal set of generators for the algebra of SL(n)-invariants of an n-ary form. The main feature of this approach is that it provides a "running bound" for the degrees of the generating invariants. The techniques are based on a superalgebraic description of transvectants and a systematic use of the symbolic method. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：287 / 308

页数：22

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