New Mathematical Monographs: Representation Theory of Finite Reductive Groups...

Representation Theory of Finite Reductive GroupsAuthor(s): Marc Cabanes, Michel Enguehard\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521825177, 978-0521825177\nSynopsis\nAt the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of tale cohomology, leading to the proof of the recent BonnafRouquier theorems. The second is a straightforward and simplified account of the DipperJames theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of FongSrinivasan theorems. Throughout the text is illustrated by many examples and background is provided by severa.