Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras

A.I. Kostrikin, I.R. Shafarevich (Herausgeber)

Buch | Softcover

VIII, 240 Seiten

2010 | 1. Softcover reprint of the original 1st ed. 1996
Springer Berlin (Verlag)
978-3-642-08167-5 (ISBN)

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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.

I. On the Representation Theory of the Finite Groups of Lie Type over an Algebraically Closed Field of Characteristic O.- II. Finite-Dimensional Division Algebras.- Author Index.

Erscheint lt. Verlag	1.12.2010
Reihe/Serie	Encyclopaedia of Mathematical Sciences
Co-Autor	R.W. Carter, V.P. Platonov, V.I. Yanchevskii
Übersetzer	P.M. Cohn
Zusatzinfo	VIII, 240 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	384 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Algebra • Brauer group • Brauersche Gruppe • cohomology • Darstellungen • division algebra • Divisionsalgebra • endliche Gruppen • finite groups • groups of Lie type • Gruppen vom Lieschen Typ • representations • Representation Theory
ISBN-10	3-642-08167-3 / 3642081673
ISBN-13	978-3-642-08167-5 / 9783642081675
Zustand	Neuware