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Sinossi
Concini and Procesi provide a unified, complete, and self-contained exposition of the main algebraic theorem of invariant theory for matrices in a characteristic free approach. They focus on the general symbolic theory, and do not discuss special theorems and computations nor applications to non-commutative algebra--referring readers to recent or forthcoming publications. In particular, they avoid the use of algebraic geometry and results on the cohomology of line bundles over the flag variety that are the standard approach to the theory. Instead, they use the theory of quasi-hereditary algebras and of standard bitableaux, an algebraic and combinatorial approach. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
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The Invariant Theory of Matrices
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American Mathematical Society, 2017
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ISBN 13: 9781470441876
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The invariant theory of matrices. University lecture series; volume 69.
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Providence, American Mathematical Society, 2017
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Softcover. 151 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04725 9781470441876 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2490965
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The Invariant Theory of Matrices
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American Mathematical Society, US, 2017
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ISBN 13: 9781470441876
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Paperback. Condizione: New. 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 Weyl's classical approach, the ring of invariants is described by formulating and proving the first fundamental theorem that describes a set of generators in the ring of invariants, and the second fundamental theorem that describes relations between these generators. The authors study both the case of matrices over a field of characteristic 0 and the case of matrices over a field of positive characteristic. While the case of characteristic 0 can be treated following a classical approach, the case of positive characteristic (developed by Donkin and Zubkov) is much harder. A presentation of this case requires the development of a collection of tools. These tools and their application to the study of invariants are exlained in an elementary, self-contained way in the book. Codice articolo LU-9781470441876
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The Invariant Theory of Matrices
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American Mathematical Society, US, 2017
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ISBN 13: 9781470441876
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Paperback. Condizione: New. 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 Weyl's classical approach, the ring of invariants is described by formulating and proving the first fundamental theorem that describes a set of generators in the ring of invariants, and the second fundamental theorem that describes relations between these generators. The authors study both the case of matrices over a field of characteristic 0 and the case of matrices over a field of positive characteristic. While the case of characteristic 0 can be treated following a classical approach, the case of positive characteristic (developed by Donkin and Zubkov) is much harder. A presentation of this case requires the development of a collection of tools. These tools and their application to the study of invariants are exlained in an elementary, self-contained way in the book. Codice articolo LU-9781470441876
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The Invariant Theory of Matrices
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American Mathematical Society, 2017
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Concini, C: The Invariant Theory of Matrices
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Condizione: New. 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 se. Codice articolo 595975240
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The Invariant Theory of Matrices
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The Invariant Theory of Matrices (University Lecture Series)
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American Mathematical Society, 2017
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