Modular representations of finite groups of Lie type

By:

Humphreys, James E [Author]

Contributor(s):

London Mathematical Society

Material type:

TextLanguage: English Series: London Mathematical Society lecture note series ; 326Publication details: Cambridge : Cambridge University Press, 2006.Description: xv, 233 p. : ill. ; 23 cmISBN:

9780521674546

Subject(s):

Other classification:

B271 P6 NBHM

Summary: Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne–Lusztig characters. One goal has been to make the subject more accessible to those working in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.

Item type:

Textual

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Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	Textual	Faculty of Mathematical Sciences Library	Central Science Library			B271 P6 NBHM (Browse shelf(Opens below))					Available			SL1656190

Includes bibliographical references and index.

Finite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne–Lusztig characters. One goal has been to make the subject more accessible to those working in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.

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