Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras
1. Auflage. Softcover version of original hardcover Auflage 1996
ISBN: 978-3-642-08167-5
Verlag: Springer

Buch, Englisch, Band 77, 240 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 388 g

Reihe: Encyclopaedia of Mathematical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Kostrikin, A. I.

Shafarevich, I. R.

Weitere Mitwirkende

Carter, R.W.

Cohn, P.M.

Platonov, V.P.

Yanchevskii, V.I.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

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.