Algebra IX

Finite Groups of Lie Type Finite-Dimensional Division Algebras
1996
ISBN: 978-3-540-57038-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 77, 240 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 553 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

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

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.