Franklin

Representations of finite groups of Lie type / François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris.

Author/Creator:
Digne, François, author.
Publication:
Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.
Format/Description:
Book
vii, 258 pages : illustrations ; 24 cm.
Edition:
Second edition.
Series:
London Mathematical Society student texts ; 95.
London mathematical society student texts ; 95
Status/Location:
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Details

Subjects:
Lie groups.
Representations of groups.
Contents:
Basic results on algebraic groups
Structure theorems for reductive groups
(B, N)-pairsparabolic, Levi, and reductive subgroups: centralisers of semi-simple elements
Rationality, the Frobenius endomorphism, the Lang–Steinberg theorem
Harish–Chandra theory
Iwahori–Hecke algebras
The duality functor and the Steinberg character
l-adic cohomology
Deligne–Lusztig induction: the Mackey formula
The character formula and other results on Deligne–Lusztig induction
Geometric conjugacy and Lusztig series
Regular elements; Gelfand–Graev representations; regular and semi-simple characters
Green functions
The decomposition of Deligne–Lusztig characters.
Notes:
Includes bibliographical references and index.
Contributor:
Michel, Jean, author.
Other format:
ebook version :
ISBN:
9781108481489
1108481485
9781108722629
1108722628
9781108673655
OCLC:
1133661839