Linear and projective representations of symmetric groups

By:

Kleshchev, Alexander

Series: Cambridge tracts in mathematics, no. 163Publication details: Cambridge University Press, 2005. Cambridge:Description: xiv, 277p.; pbk; 24cmISBN:

9780521104180

Subject(s):

DDC classification:

512.55 KLE

Summary: The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject. https://www.cambridge.org/core/books/linear-and-projective-representations-of-symmetric-groups/D8969B094B84784DC392EC38CCAD2100#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	512.55 KLE (Browse shelf(Opens below))	1	Available		031761

Includes index and references

The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.

https://www.cambridge.org/core/books/linear-and-projective-representations-of-symmetric-groups/D8969B094B84784DC392EC38CCAD2100#fndtn-information

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