Modular Representations of Finite Groups of Lie Type (London Mathematical Society Lecture Note Series, Series Number 326)

Humphreys, James E.

ISBN 10: 0521674549 / ISBN 13: 9780521674546

Published by Cambridge University Press, 2006

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Bibliographic Details

• Title: Modular Representations of Finite Groups of Lie Type (London Mathematical Society Lecture Note Series, Series Number 326)
• Publisher: Cambridge University Press
• Publication Date: 2006
• Language: English
• ISBN 10: 0521674549
• ISBN 13: 9780521674546
• Binding: Soft cover
• Condition: New

About this title

Synopsis

Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne-Lusztig characters. One goal has been to make the subject more accessible to those working in neighboring parts of group theory, number theory, and topology.

About the Author

James E. Humphreys was born in Erie, Pennsylvania, and received his AB from Oberlin College, Ohio in 1961, and his PhD from Yale University, Connecticut in 1966. He has taught at the University of Oregon, Courant Institute of Mathematical Sciences, New York University, and the University of Massachusetts, Amherst (now retired). He visits the Institute of Advanced Studies, Princeton and Rutgers. He is the author of several graduate texts and monographs.