Algebra: Finite Groups of Lie Type. Finite-dimensional Fivision Algebras: 77 - Rilegato

Rilegato

ISBN 10: 3540570381 ISBN 13: 9783540570387

Casa editrice: Springer Verlag, 1995

Riassunto

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 account of reduced K-theory.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer Verlag
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 3540570381
• ISBN 13: 9783540570387
• Rilegatura: Copertina rigida
• Numero di pagine: 246
• Redattore: Kostrikin A. I.
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