The Classical Groups and K-Theory: 291 (Grundlehren der mathematischen Wissenschaften, 291) - Hardcover
Synopsis
It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups", foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the definition of Lie groups, the analogy between simple classical groups over finite fields and simple classical groups over IR or C had been observed, even if the concept of "simplicity" was not quite the same in both cases. With the discovery of the exceptional simple complex Lie algebras by Killing and E. Cartan, it was natural to look for corresponding groups over finite fields, and already around 1900 this was done by Dickson for the exceptional Lie algebras G and E • However, a deep reason for this 2 6 parallelism was missing, and it is only Chevalley who, in 1955 and 1961, discovered that to each complex simple Lie algebra corresponds, by a uniform process, a group scheme (fj over the ring Z of integers, from which, for any field K, could be derived a group (fj(K).
"synopsis" may belong to another edition of this title.
Product Description
It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words "classical groups", foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the definition of Lie groups, the analogy between simple classical groups over finite fields and simple classical groups over IR or C had been observed, even if the concept of "simplicity" was not quite the same in both cases. With the discovery of the exceptional simple complex Lie algebras by Killing and E. Cartan, it was natural to look for corresponding groups over finite fields, and already around 1900 this was done by Dickson for the exceptional Lie algebras G and E · However, a deep reason for this 2 6 parallelism was missing, and it is only Chevalley who, in 1955 and 1961, discovered that to each complex simple Lie algebra corresponds, by a uniform process, a group scheme (fj over the ring Z of integers, from which, for any field K, could be derived a group (fj(K).
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for The Classical Groups and K-Theory: 291 (Grundlehren...
Stock Image
The Classical Groups and K-Theory.
Seller: Antiquariat Renner OHG, Albstadt, Germany
Seller rating 5 out of 5 stars
Hardcover. Condition: Wie neu. Bln., Springer (1989). gr.8°. XV, 576 p. Hardbound. Grundlehren der mathematischen Wissenschaften, 291.- Like new. Seller Inventory # 94813
Stock Image
The Classical Groups and K-Theory (Grundlehren der mathematischen Wissenschaften, 291)
Seller: Browsers' Bookstore, CBA, Albany, OR, U.S.A.
Seller rating 5 out of 5 stars
hardcover. Condition: Very Good. A nice copy. Clean text, solid binding. Some rubbing to boards. Seller Inventory # mon0000184995
Seller Image
The Classical Groups and K-Theory (Grundlehren der mathematischen Wissenschaften, 291)
Seller: Solr Books, Lincolnwood, IL, U.S.A.
Seller rating 5 out of 5 stars
Condition: very_good. This books is in Very good condition. There may be a few flaws like shelf wear and some light wear. Seller Inventory # BCV.3540177582.VG
Stock Image
The Classical Groups and K-Theory (A Series of Comprehensive Studies in Mathematics) (Volume 291)
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Fair. Volume 291. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1100grams, ISBN:3540177582. Seller Inventory # 4314315
Seller Image
The classical groups and K-theory. A series of comprehensive studies in mathematics; 291.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Hardcover. XV, 576 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-04831 3540177582 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2491071
Stock Image
The Classical Groups and K-Theory (Grundlehren der mathematischen Wissenschaften, 291)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar3113020161494
Stock Image
The Classical Groups and K-Theory (Grundlehren der mathematischen Wissenschaften, 291)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783540177586_new
Buy New
£ 134.30
Shipping:
£ 11.98
From United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
The Classical Groups and K-Theory.
Seller: Antiquariat Bernhardt, Kassel, Germany
Seller rating 5 out of 5 stars
Karton. Condition: Sehr gut. Zust: Gutes Exemplar. 576 Seiten, mit Abbildungen, Englisch 982g. Seller Inventory # 360504
Stock Image
The Classical Groups and K-Theory (Grundlehren der mathematischen Wissenschaften, 291)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9783540177586
Seller Image
The Classical Groups and K-Theory
Published by
Springer Berlin Heidelberg Aug 1989, 1989
ISBN 10: 3540177582
ISBN 13: 9783540177586
New
Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years. When H. Weyl coined the words 'classical groups', foremost in his mind were their connections with invariant theory, which his famous book helped to revive. Although his approach in that book was deliberately algebraic, his interest in these groups directly derived from his pioneering study of the special case in which the scalars are real or complex numbers, where for the first time he injected Topology into Lie theory. But ever since the definition of Lie groups, the analogy between simple classical groups over finite fields and simple classical groups over IR or C had been observed, even if the concept of 'simplicity' was not quite the same in both cases. With the discovery of the exceptional simple complex Lie algebras by Killing and E. Cartan, it was natural to look for corresponding groups over finite fields, and already around 1900 this was done by Dickson for the exceptional Lie algebras G and E - However, a deep reason for this 2 6 parallelism was missing, and it is only Chevalley who, in 1955 and 1961, discovered that to each complex simple Lie algebra corresponds, by a uniform process, a group scheme (fj over the ring Z of integers, from which, for any field K, could be derived a group (fj(K). 604 pp. Englisch. Seller Inventory # 9783540177586