Representations of SL2(Fq) (Algebra and Applications, 13) - Softcover
Deligne-Lusztig theory investigates representations of finite reductive groups through geometric methods, particularly l-adic cohomology. This text focuses on the SL2(Fq) group, which allows it the simplicity required for a complete description of the theory.
"synopsis" may belong to another edition of this title.
From the Back Cover:
Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provide the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects.
The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups.
At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2012
- ISBN 10 1447125991
- ISBN 13 9781447125990
- BindingPaperback
- Number of pages208
Buy New
Learn more about this copy
US$ 107.69
Shipping:
FREE
Within U.S.A.
Top Search Results from the AbeBooks Marketplace
Stock Image
Representations of SL2(Fq) (Algebra and Applications, 13)
Seller:
Rating
Book Description Condition: New. Book is in NEW condition. Seller Inventory # 1447125991-2-1
Buy New
US$ 107.69
Convert currency
Stock Image
Representations of SL2(Fq) (Algebra and Applications, 13)
Seller:
Rating
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published. Seller Inventory # 353-1447125991-new
Buy New
US$ 107.70
Convert currency
Seller Image
Representations of SL2(Fq)
Published by
Springer London Dez 2012
(2012)
ISBN 10: 1447125991
ISBN 13: 9781447125990
New
Taschenbuch
Quantity: 2
Seller:
Rating
Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provides the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects.The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups.At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory. 208 pp. Englisch. Seller Inventory # 9781447125990
Buy New
US$ 83.06
Convert currency
Seller Image
Representations of SL2(Fq)
Published by
Springer London
(2012)
ISBN 10: 1447125991
ISBN 13: 9781447125990
New
Taschenbuch
Quantity: 1
Seller:
Rating
Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provides the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects.The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups.At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory. Seller Inventory # 9781447125990
Buy New
US$ 86.11
Convert currency
Seller Image
Representations of SL2(Fq)
Published by
Springer London
(2012)
ISBN 10: 1447125991
ISBN 13: 9781447125990
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents an introduction to ordinary and modular Deligne-Lusztig theory through the detailed study of an example: SL2(Fq)Will serve as a complimentary text to existing titles on Deligne-Lusztig theoryIncludes Rouquier s theorem on derived e. Seller Inventory # 4184539
Buy New
US$ 73.13
Convert currency
Stock Image
Representations of SL2(Fq) (Algebra and Applications)
Seller:
Rating
Book Description Paperback. Condition: Brand New. 208 pages. 9.25x6.10x0.47 inches. In Stock. Seller Inventory # zk1447125991
Buy New
US$ 127.79
Convert currency