Representation Theory of Finite Groups: Algebra and Arithmetic

Erscheinungsjahr 2003
ISBN: 978-0-8218-3222-6
Verlag: American Mathematical Society

Buch, Englisch, Format (B × H): 184 mm x 262 mm, Gewicht: 596 g

Reihe: Graduate Studies in Mathematics

An introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra. The approach is to develop the requisite algebra in reasonable generality and then to specialize it to the case of group representations.

'We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, to a point from which (s)he can survey this valley, but we do not attempt to widely explore it.

Introduction; Semisimple rings and modules; Semisimple group representations; Induced representations and applications; Introduction to modular representations; General rings and modules; Modular group representations; Some useful results; Bibliography; I

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Über Autor(innen)

(Lehigh University, Bethlehem, USA)