The Resource Finite Reductive Groups: Related Structures and Representations : Proceedings of an International Conference held in Luminy, France, edited by Marc Cabanes, (electronic resource)

Finite Reductive Groups: Related Structures and Representations : Proceedings of an International Conference held in Luminy, France, edited by Marc Cabanes, (electronic resource)

Label
Finite Reductive Groups: Related Structures and Representations : Proceedings of an International Conference held in Luminy, France
Title
Finite Reductive Groups: Related Structures and Representations
Title remainder
Proceedings of an International Conference held in Luminy, France
Statement of responsibility
edited by Marc Cabanes
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics. The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field
Member of
Dewey number
512.2
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
ruNXY_WSgTo
Image bit depth
0
Language note
English
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Cabanes, Marc.
Series statement
Progress in Mathematics,
Series volume
141
http://library.link/vocab/subjectName
  • Group theory
  • Algebra
  • Geometry, algebraic
  • Group Theory and Generalizations
  • Associative Rings and Algebras
  • Algebraic Geometry
Label
Finite Reductive Groups: Related Structures and Representations : Proceedings of an International Conference held in Luminy, France, edited by Marc Cabanes, (electronic resource)
Instantiates
Publication
Note
Papers from the Luminy conference held Oct. 1994
Antecedent source
mixed
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
q-Analogue of a Twisted Group Ring -- Formule des traces sur les corps finis -- Heights of Spin Characters in Characteristic 2 -- Sur certains éléments réguliers des groupes de Weyl et les variétés de Deligne-Lusztig associées -- Local Methods for Blocks of Reductive Groups over a Finite Field -- Splitting Fields for Jordan Subgroups -- A Norm Map for Endomorphism Algebras of Gelfand-Graev Representations -- Modular Representations of Finite Groups of Lie Type in Non-Defining Characteristic -- Centers and Simple Modules for Iwahori-Hecke Algebras -- Quantum Groups, Hall Algebras and Quantized Shuffles -- Fourier Transforms, Nilpotent Orbits, Hall Polynomials and Green Functions -- Degrés relatifs des algèbres cyclotomiques associées aux groupes de réflexions complexes de dimension deux -- Character Values of Iwahori-Hecke Algebras of Type B -- The Center of a Block -- Unipotent Characters of Finite Classical Groups -- A propos d’une conjecture de Langlands modulaire
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XII, 452 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461241249
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-4124-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000090714
  • (SSID)ssj0001296682
  • (PQKBManifestationID)11716449
  • (PQKBTitleCode)TC0001296682
  • (PQKBWorkID)11353232
  • (PQKB)10920036
  • (DE-He213)978-1-4612-4124-9
  • (MiAaPQ)EBC3076597
  • (EXLCZ)993400000000090714
Label
Finite Reductive Groups: Related Structures and Representations : Proceedings of an International Conference held in Luminy, France, edited by Marc Cabanes, (electronic resource)
Publication
Note
Papers from the Luminy conference held Oct. 1994
Antecedent source
mixed
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
q-Analogue of a Twisted Group Ring -- Formule des traces sur les corps finis -- Heights of Spin Characters in Characteristic 2 -- Sur certains éléments réguliers des groupes de Weyl et les variétés de Deligne-Lusztig associées -- Local Methods for Blocks of Reductive Groups over a Finite Field -- Splitting Fields for Jordan Subgroups -- A Norm Map for Endomorphism Algebras of Gelfand-Graev Representations -- Modular Representations of Finite Groups of Lie Type in Non-Defining Characteristic -- Centers and Simple Modules for Iwahori-Hecke Algebras -- Quantum Groups, Hall Algebras and Quantized Shuffles -- Fourier Transforms, Nilpotent Orbits, Hall Polynomials and Green Functions -- Degrés relatifs des algèbres cyclotomiques associées aux groupes de réflexions complexes de dimension deux -- Character Values of Iwahori-Hecke Algebras of Type B -- The Center of a Block -- Unipotent Characters of Finite Classical Groups -- A propos d’une conjecture de Langlands modulaire
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XII, 452 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461241249
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-4124-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000090714
  • (SSID)ssj0001296682
  • (PQKBManifestationID)11716449
  • (PQKBTitleCode)TC0001296682
  • (PQKBWorkID)11353232
  • (PQKB)10920036
  • (DE-He213)978-1-4612-4124-9
  • (MiAaPQ)EBC3076597
  • (EXLCZ)993400000000090714

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