A textbook for graduate and undergraduate students introducing the classical theory of prehomogeneous vector spaces originated by Mikio Sato in 1961. The original Gaikinshitsu bekutoru kukan was published by Iwanami Shotan, Tokyo, in 1998. The English, translated by M. Nagura and T. Niitani, contains some additional material. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
Hardcover. Zustand: Brand New. 288 pages. 10.25x7.25x0.75 inches. In Stock. Bestandsnummer des Verkäufers __0821827677
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Hardback. Zustand: New. This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of several areas of mathematics, such as algebraic geometry, Lie groups, analysis, number theory, and invariant theory. An important objective is to create applications to number theory. For example, one of the key topics is that of zeta functions attached to prehomogeneous vector spaces; these are generalizations of the Riemann zeta function, a cornerstone of analytic number theory.Prehomogeneous vector spaces are also of use in representation theory, algebraic geometry and invariant theory. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces, and a classification theory of irreducible prehomogeneous vector spaces. It strives, and to a large extent succeeds, in making this content, which is by its nature fairly technical, self-contained and accessible. The first section of the book, 'Overview of the theory and contents of this book', is particularly noteworthy as an excellent introduction to the subject. Bestandsnummer des Verkäufers LU-9780821827673
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Zustand: New. In English. Bestandsnummer des Verkäufers ria9780821827673_new
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Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Hardback. Zustand: New. This is the first introductory book on the theory of prehomogeneous vector spaces, introduced in the 1970s by Mikio Sato. The author was an early and important developer of the theory and continues to be active in the field. The subject combines elements of several areas of mathematics, such as algebraic geometry, Lie groups, analysis, number theory, and invariant theory. An important objective is to create applications to number theory. For example, one of the key topics is that of zeta functions attached to prehomogeneous vector spaces; these are generalizations of the Riemann zeta function, a cornerstone of analytic number theory.Prehomogeneous vector spaces are also of use in representation theory, algebraic geometry and invariant theory. This book explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces, and a classification theory of irreducible prehomogeneous vector spaces. It strives, and to a large extent succeeds, in making this content, which is by its nature fairly technical, self-contained and accessible. The first section of the book, 'Overview of the theory and contents of this book', is particularly noteworthy as an excellent introduction to the subject. Bestandsnummer des Verkäufers LU-9780821827673
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Zustand: New. Explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces, and a classification theory of irreducible prehomogeneous vector spaces. Series: Translations of Mathematical Monographs Reprint. Num Pages: 288 pages, bibliography, index. BIC Classification: PBF; PBH; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 261 x 188 x 21. Weight in Grams: 754. . 2002. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821827673
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Zustand: New. Explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces, and a classification theory of irreducible prehomogeneous vector spaces. Series: Translations of Mathematical Monographs Reprint. Num Pages: 288 pages, bibliography, index. BIC Classification: PBF; PBH; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 261 x 188 x 21. Weight in Grams: 754. . 2002. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821827673
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