Description

Book Synopsis
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 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.

Trade Review
The present book is a nice and introductory reference to graduate students or researchers who are working in the field of representation and invariant theory." — Yin Chen, Zentralblatt MATH

"The choices made by the authors permit them to highlight the main results and also to keep the material within the reach of an interested reader. At the same time, the book remains open-ended with precise pointers to the literature on other approaches and the cases not treated here." — Felipe Zaldivar, MAA Reviews

Table of Contents
  • Introduction and preliminaries
  • The classical theory
  • Quasi-hereditary algebras
  • The Schur algebra
  • Matrix functions and invariants
  • Relations
  • The Schur algebra of a free algebra
  • Bibliography
  • General index
  • Symbol index.

    The Invariant Theory of Matrices

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      RRP £61.00 – you save £6.10 (10%)

      Order before 4pm tomorrow for delivery by Mon 10 Aug 2026.

      A Paperback by Corrado De Concini, Claudio Procesi

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 12/30/2017 12:00:00 AM
        ISBN13: 9781470441876, 978-1470441876
        ISBN10: 147044187X
        Also in:
        Algebraic geometry

        Description

        Book Synopsis
        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 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.

        Trade Review
        The present book is a nice and introductory reference to graduate students or researchers who are working in the field of representation and invariant theory." — Yin Chen, Zentralblatt MATH

        "The choices made by the authors permit them to highlight the main results and also to keep the material within the reach of an interested reader. At the same time, the book remains open-ended with precise pointers to the literature on other approaches and the cases not treated here." — Felipe Zaldivar, MAA Reviews

        Table of Contents
        • Introduction and preliminaries
        • The classical theory
        • Quasi-hereditary algebras
        • The Schur algebra
        • Matrix functions and invariants
        • Relations
        • The Schur algebra of a free algebra
        • Bibliography
        • General index
        • Symbol index.

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