大葉大學圖書館 |

Linear and projective representations of symmetric groups /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.5
書名/作者:	Linear and projective representations of symmetric groups // Alexander Kleshchev.
其他題名:	Linear & Projective Representations of Symmetric Groups
作者:	Kleshchëv, A. S.
面頁冊數:	1 online resource (xiv, 277 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Symmetry groups.
標題:	Representations of groups.
標題:	Modular representations of groups.
標題:	Hecke algebras.
標題:	Superalgebras.
標題:	Linear algebraic groups.
標題:	Algebras, Linear.
標題:	Geometry, Projective.
ISBN:	9780511542800 (ebook)
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511542800

Linear and projective representations of symmetric groups /
Kleshchëv, A. S.

Linear and projective representations of symmetric groups /Linear & Projective Representations of Symmetric GroupsAlexander Kleshchev. - 1 online resource (xiv, 277 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;163. - Cambridge tracts in mathematics ;169..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Notation and generalities --1.

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.

ISBN: 9780511542800 (ebook)Subjects--Topical Terms:

556704
Symmetry groups.

LC Class. No.: QA176 / .K56 2005

Dewey Class. No.: 512.5

Linear and projective representations of symmetric groups /
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246 3 $a Linear & Projective Representations of Symmetric Groups
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490 1 $a Cambridge tracts in mathematics ; $v 163
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $g 1. $t Notation and generalities -- $g 2. $t Symmetric groups I -- $g 3. $t Degenerate affine Hecke algebra -- $g 4. $t First results on H[subscript n]-modules -- $g 5. $t Crystal operators -- $g 6. $t Character calculations -- $g 7. $t Integral representations and cyclotomic Hecke algebras -- $g 8. $t Functors e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] -- $g 9. $t Construction of U[subscript z][superscript +] and irreducible modules -- $g 10. $t Identification of the crystal -- $g 11. $t Symmetric groups II -- $g 12. $t Generalities on superalgebra -- $g 13. $t Sergeev superalgebras -- $g 14. $t Affine Sergeev superalgebras -- $g 15. $t Integral representations and cyclotomic Sergeev algebras -- $g 16. $t First results on X[subscript n]-modules -- $g 17. $t Crystal operators for X[subscript n] -- $g 18. $t Character calculations for X[subscript n] -- $g 19. $t Operators e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] -- $g 20. $t Construction of U[subscript z][superscript +] and irreducible modules -- $g 21. $t Identification of the crystal -- $g 22. $t Double covers.
520 $a 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.
650 0 $a Symmetry groups. $3 556704
650 0 $a Representations of groups. $3 403691
650 0 $a Modular representations of groups. $3 643594
650 0 $a Hecke algebras. $3 643497
650 0 $a Superalgebras. $3 643595
650 0 $a Linear algebraic groups. $3 443168
650 0 $a Algebras, Linear. $3 196729
650 0 $a Geometry, Projective. $3 512511
776 0 8 $i Print version: $z 9780521837033
830 0 $a Cambridge tracts in mathematics ; $v 169. $3 642585
856 4 0 $u http://dx.doi.org/10.1017/CBO9780511542800