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Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras: 77 (Encyclopaedia of Mathematical Sciences, 77) - Softcover
Synopsis
This book covers two important topics of current research in algebra. It addresses researchers and graduate students in mathematics.
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From the Back Cover
The finite groups of Lie type are of central mathematical importance and the problem of understanding their irreducible representations is of great interest. The representation theory of these groups over an algebraically closed field of characteristic zero was developed by P.Deligne and G.Lusztig in 1976 and subsequently in a series of papers by Lusztig culminating in his book in 1984. The purpose of the first part of this book is to give an overview of the subject, without including detailed proofs. The second part is a survey of the structure of finite-dimensional division algebras with many outline proofs, giving the basic theory and methods of construction and then goes on to a deeper analysis of division algebras over valuated fields. An account of the multiplicative structure and reduced K-theory presents recent work on the subject, including that of the authors. Thus it forms a convenient and very readable introduction to a field which in the last two decades has seen much progress.
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Algebra IX (eng)
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Algebra IX : Finite Groups of Lie Type. Finite-dimensional Division Algebras
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Algebra IX
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research. After giving the basic information Carter describes the Deligne-Lusztig method of obtaining characters of these groups using l-adic cohomology and subsequent work of Lusztig.The second part by Platonov and Yanchevskii surveys the structure of finite-dimensional division algebras and includes an account of reduced K-theory. 252 pp. Englisch. Seller Inventory # 9783642081675
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Algebra IX : Finite Groups of Lie Type. Finite-dimensional Division Algebras
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Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77)
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Algebra IX
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The first contribution by Carter covers the theory of finite groups of Lie type, an important field of current mathematical research. In the second part, Platonov and Yanchevskii survey the structure of finite-dimensional division algebras, including an . Seller Inventory # 5047214
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Algebra IX
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Algebra IX : Finite Groups of Lie Type Finite-Dimensional Division Algebras
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research. After giving the basic information Carter describes the Deligne-Lusztig method of obtaining characters of these groups using l-adic cohomology and subsequent work of Lusztig.The second part by Platonov and Yanchevskii surveys the structure of finite-dimensional division algebras and includes an account of reduced K-theory. Seller Inventory # 9783642081675
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Algebra IX
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research. After giving the basic information Carter describes the Deligne-Lusztig method of obtaining characters of these groups using l-adic cohomology and subsequent work of Lusztig.The second part by Platonov and Yanchevskii surveys the structure of finite-dimensional division algebras and includes an account of reduced K-theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 252 pp. Englisch. Seller Inventory # 9783642081675
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Algebra IX
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