Generalized symmetric functions and invariants of matrices

被引：0
|
作者：
Francesco Vaccarino
机构：
[1] Politecnico di Torino - Dipartimento di Matematik,
来源：
Mathematische Zeitschrift | 2008年 / 260卷
关键词：
05E05; 16G99; 13A50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We generalize the classical isomorphism between symmetric functions and invariants of a matrix. In particular, we show that the invariants over several matrices are given by the abelianization of the symmetric tensors over the free associative algebra. The main result is proved by finding a characteristic free presentation of the algebra of symmetric tensors over a free algebra.
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页码：509 / 526
页数：17
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