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Polynomial Identities And Asymptotic Methods (Mathematical Surveys and Monographs, 122, Band 122) - Hardcover
Inhaltsangabe
Giambruno and Zaicey show how to combine methods of ring theory, combinatorics and representation theory of groups with an analytical approach to study the polynomial identities satisfied by a given algebra, In the process they describe such topics as polynomial identities and PI-algebras, Sn-representations, group gradings and group actions, codimentation and colength growth, matrix invariants and central polynomials, the PI-exponent of an algebra, polynomial growth the low PI-exponent, classifying minimal variables, computing the exponent of a polynomial, G-identities and related action, superalgebras, 8-algebras and codimension growth, Lie algebras and non-associative algebras, and in an appendix, the generalized six-square theorem. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)
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Polynomial Identities and Asymptotic Methods (American Mathematical Society Mathematical Surveys and Monographs, Volume 122)
Verlag:
American Mathematical Society, 2005
ISBN 10: 0821838296
ISBN 13: 9780821838297
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Hardcover
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Zustand: New. Presents a study of polynomial identities by combining methods of ring theory, combinatorics, and representation theory of groups with analysis. This book includes such topics as polynomial rings in one or several variables, the Grassmann algebra, and finite-dimensional algebras. It is suitable for students of polynomial identity algebras. Series: Mathematical Surveys and Monographs. Num Pages: 352 pages, illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 860. . 2005. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821838297
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Polynomial Identities and Asymptotic Methods
Verlag:
American Mathematical Society, US, 2005
ISBN 10: 0821838296
ISBN 13: 9780821838297
Neu
Hardcover
Anbieter: Rarewaves.com USA, London, LONDO, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. illustrated Edition. This book gives a state of the art approach to the study of polynomial identities satisfied by a given algebra by combining methods of ring theory, combinatorics, and representation theory of groups with analysis. The idea of applying analytical methods to the theory of polynomial identities appeared in the early 1970s and this approach has become one of the most powerful tools of the theory. A PI-algebra is any algebra satisfying at least one nontrivial polynomial identity.This includes the polynomial rings in one or several variables, the Grassmann algebra, finite-dimensional algebras, and many other algebras occurring naturally in mathematics. The core of the book is the proof that the sequence of co dimensions of any PI-algebra has integral exponential growth - the PI-exponent of the algebra. Later chapters further apply these results to subjects such as a characterization of varieties of algebras having polynomial growth and a classification of varieties that are minimal for a given exponent. Results are extended to graded algebras and algebras with involution. The book concludes with a study of the numerical invariants and their asymptotics in the class of Lie algebras. Even in algebras that are close to being associative, the behavior of the sequences of co dimensions can be wild. The material is suitable for graduate students and research mathematicians interested in polynomial identity algebras. Bestandsnummer des Verkäufers LU-9780821838297
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Polynomial Identities And Asymptotic Methods
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Hardcover. Zustand: Brand New. illustrated edition. 352 pages. 10.00x7.00x0.75 inches. In Stock. Bestandsnummer des Verkäufers __0821838296
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Polynomial Identities and Asymptotic Methods (American Mathematical Society Mathematical Surveys and Monographs, Volume 122)
Verlag:
American Mathematical Society, 2005
ISBN 10: 0821838296
ISBN 13: 9780821838297
Neu
Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Presents a study of polynomial identities by combining methods of ring theory, combinatorics, and representation theory of groups with analysis. This book includes such topics as polynomial rings in one or several variables, the Grassmann algebra, and finite-dimensional algebras. It is suitable for students of polynomial identity algebras. Series: Mathematical Surveys and Monographs. Num Pages: 352 pages, illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 860. . 2005. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821838297
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Polynomial Identities and Asymptotic Methods
Verlag:
American Mathematical Society, US, 2005
ISBN 10: 0821838296
ISBN 13: 9780821838297
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. illustrated Edition. This book gives a state of the art approach to the study of polynomial identities satisfied by a given algebra by combining methods of ring theory, combinatorics, and representation theory of groups with analysis. The idea of applying analytical methods to the theory of polynomial identities appeared in the early 1970s and this approach has become one of the most powerful tools of the theory. A PI-algebra is any algebra satisfying at least one nontrivial polynomial identity.This includes the polynomial rings in one or several variables, the Grassmann algebra, finite-dimensional algebras, and many other algebras occurring naturally in mathematics. The core of the book is the proof that the sequence of co dimensions of any PI-algebra has integral exponential growth - the PI-exponent of the algebra. Later chapters further apply these results to subjects such as a characterization of varieties of algebras having polynomial growth and a classification of varieties that are minimal for a given exponent. Results are extended to graded algebras and algebras with involution. The book concludes with a study of the numerical invariants and their asymptotics in the class of Lie algebras. Even in algebras that are close to being associative, the behavior of the sequences of co dimensions can be wild. The material is suitable for graduate students and research mathematicians interested in polynomial identity algebras. Bestandsnummer des Verkäufers LU-9780821838297
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