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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: Finite Groups of Lie Type. Finite-dimensional Fivision Algebras: v. 9 (Encyclopaedia of Mathematical Sciences) Cloth - 1996

by Kostrikin, A.I. and I.R. Shafarevich:

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  • Hardcover

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Berlin, Heidelberg, New York: Springer, 1996. Cloth. Very Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book Small plain label inside cover.
Used - Very Good
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  • Title Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras: Finite Groups of Lie Type. Finite-dimensional Fivision Algebras: v. 9 (Encyclopaedia of Mathematical Sciences)
  • Author Kostrikin, A.I. and I.R. Shafarevich:
  • Binding Cloth
  • Edition N/A
  • Condition Used - Very Good
  • Pages 240
  • Volumes 1
  • Language ENG
  • Publisher Springer, Berlin, Heidelberg, New York
  • Date 1996
  • Bookseller's Inventory # 052449
  • ISBN 9783540570387 / 3540570381
  • Weight 1.18 lbs (0.54 kg)
  • Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
  • Dewey Decimal Code 512.2

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From the publisher

This book covers two important topics of current research in algebra. It addresses researchers and graduate students in mathematics.

First line

In this article we shall be describing the representation theory of a certain class of finite groups.

From the rear 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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