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Springer Correspondence for Disconnected Exceptional Groups
Author(s) -
Malle Gunter
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003856
Subject(s) - mathematics , totally disconnected space , statement (logic) , character (mathematics) , mathematics subject classification , type (biology) , pure mathematics , subject (documents) , algebra over a field , locally compact space , epistemology , geometry , computer science , ecology , philosophy , library science , biology
The determination of the generalized Springer correspondence for disconnected reductive groups is completed here by being achieved in the case of disconnected groups of types D 4 in characteristic 3 and E 6 in characteristic 2. It is expected that this correspondence will provide an important ingredient for the computation of character values of finite groups of Lie type. Some evidence is provided in support of the latter statement. 2000 Mathematics Subject Classification 20G05 (primary), 20C33 (secondary).