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The invariant theory of matrices

Author: Corrado De Concini; Claudio Procesi
Publisher: Providence : American Mathematical Society, 2017. ©2017
Series: University Lecture Series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of $m\times m$ matrices with coefficients in an infinite field or even the ring of integers, invariant under simultaneous conjugation. Following Hermann  Read more...
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Genre/Form: Electronic books
Electronic book
Additional Physical Format: Print version:
De Concini, Corrado.
Invariant theory of matrices.
Providence, Rhode Island : American Mathematical Society, [2017]
(DLC) 2017041943
(OCoLC)1005832940
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Corrado De Concini; Claudio Procesi
ISBN: 9781470443467 1470443465
OCLC Number: 1017004736
Description: 1 online resource (151 pages) : illustrations.
Contents: Introduction --
Preliminaries --
Representation theory --
Algebras with trace --
Modules --
Good filtrations and quasi-hereditary algebras --
The Schur algebra --
Double tableaux --
Modules for the Schur algebra --
Rational GL(m)-modules --
Tensor products --
A reduction for invariants of several matrices --
Polarization and specialization --
Exterior products --
Matrix functions and invariants --
Relations --
Describing Km --
Km versus K̃m --
Preliminary facts --
The Schur algebra of the free algebra.
Series Title: University Lecture Series.
Responsibility: Corrado De Concini, Claudio Procesi.

Abstract:

Provides a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the  Read more...

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