Character theory of finite groups of Lie type : a guided tour

By:

Geck, Meinolf

Series: Cambridge studies in advanced mathematics ; 187Publication details: Cambridge University Press, 2020. Cambridge:Description: ix, 394 p : ill ; hb, 24 cm GBPISBN:

9781108489621

Subject(s):

DDC classification:

512.482 GEC

Summary: Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.482 GEC (Browse shelf(Opens below))	1	Available		030173

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Previous	512.46 DER Introduction to quiver representations	512.482 CAR Lie algebras of finite and affine type	512.482 FAR Analysis on lie groups	512.482 GEC Character theory of finite groups of Lie type : a guided tour	512.482 KIR Introduction to lie groups and lie algebras	512.482 MAL Linear algebraic groups and finite groups of lie type	512.5 BAP Graphs and matrices	Next

Includes bibliographical references and index.

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.

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