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Polynomial Invariants of Finite Groups (London Mathematical Society Lecture Note Series, Series Number 190) - Softcover
Synopsis
This book covers a topic of great interest in abstract algebra. It gives an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Heavy use is made of techniques from commutative algebra, and these are developed as needed. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring that ramify over the invariants. The author includes the recent proof of the Carlisle-Kropholler conjecture.
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Book Description
Heavy use is made of techniques from commutative algebra in this account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p, a topic of great interest in abstract algebra.
About the Author
Benson, University of Oxford.
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Formal Approaches in Categorization
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Polynomial Invariants of Finite Groups
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Polynomial Invariants of Finite Groups (London Mathematical Society Lecture Note Series, Series Number 190)
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ISBN 13: 9780521458863
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Polynomial Invariant of Finite Groups
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Polynomial Invariants of Finite Groups: 190 (London Mathematical Society Lecture Note Series, Series Number 190)
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Condition: New. This is the first book to deal with invariant theory and the representations of finite groups. Series Editor(s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 132 pages, black & white illustrations. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 8. Weight in Grams: 210. . 1993. Illustrated. paperback. . . . . Seller Inventory # V9780521458863
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Polynomial Invariants of Finite Groups
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Polynomial Invariants of Finite Groups (London Mathematical Society Lecture Note Series, Series Number 190)
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Polynomial Invariants of Finite Groups: 190 (London Mathematical Society Lecture Note Series, Series Number 190)
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ISBN 13: 9780521458863
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Condition: New. This is the first book to deal with invariant theory and the representations of finite groups. Series Editor(s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 132 pages, black & white illustrations. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 8. Weight in Grams: 210. . 1993. Illustrated. paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780521458863
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Polynomial Invariant of Finite Groups
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Polynomial Invariants of Finite Groups (Paperback)
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Cambridge University Press, Cambridge, 1993
ISBN 10: 0521458862
ISBN 13: 9780521458863
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Paperback. Condition: new. Paperback. This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. Thus the book should be accessible to graduate students. In detail, the book contains an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring which ramify over the invariants. Also included is a new proof by Crawley-Boevey and the author of the Carlisle-Kropholler conjecture. This volume will appeal to all algebraists, but especially those working in representation theory, group theory, and commutative or homological algebra. This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521458863
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