Return to home page
Searching: Muskingum library catalog
Some OPAL libraries remain closed or are operating at reduced service levels. Materials from those libraries may not be requestable; requested items may take longer to arrive. Note that pickup procedures may differ between libraries. Please contact your library for new procedures, specific requests, or other assistance.
  Previous Record Previous Item Next Item Next Record
  Reviews, Summaries, etc...
Author Humphreys, James E.
Title Modular representations of finite groups of Lie type / James E. Humphreys.
Imprint Cambridge, UK ; New York : Cambridge University Press, 2006.

Author Humphreys, James E.
Series London Mathematical Society lecture note series ; 326
London Mathematical Society lecture note series ; 326.
Subject Modular representations of groups.
Representations of Lie groups.
Finite simple groups.
Alt Name London Mathematical Society.
Description 1 online resource (xv, 233 pages) : illustrations.
polychrome rdacc
Bibliography Note Includes bibliographical references (pages 213-228) and index.
Note Print version record.
Contents 1. Finite groups of Lie type -- 2. Simple modules -- 3. Weyl modules and Lusztig's conjecture -- 4. Computation of weight multiplicities -- 5. Other aspects of simple modules -- 6. Tensor products -- 7. BN-pairs and induced modules -- 8. Blocks -- 9. Projective modules -- 10. Comparison with Frobenius kernels -- 11. Cartan invariants -- 12. Extensions of simple modules -- 13. Loewy series -- 14. Cohomology -- 15. Complexity and support varieties -- 16. Ordinary and modular representations -- 17. Deligne-Lusztig characters -- 18. groups G[subscript 2](q) -- 19. General and special linear groups -- 20. Suzuki and Ree groups.
Summary 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 neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.
ISBN 9781107362802 (electronic bk.)
1107362806 (electronic bk.)
OCLC # 836848765
Additional Format Print version: Humphreys, James E. Modular representations of finite groups of Lie type. Cambridge, UK ; New York : Cambridge University Press, 2006 0521674549 (DLC) 2006276125 (OCoLC)61757066

If you experience difficulty accessing or navigating this content, please contact the OPAL Support Team