TY - BOOK ID - 67163866 TI - Linear and projective representations of symmetric groups PY - 2005 VL - 163 SN - 9780521837033 9780511542800 9781107471641 0511125747 9780511125744 0511542801 0521837030 1107139813 9786611836696 1281836699 051118137X 9786610415755 0511198078 0511331312 0511124880 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Linear algebraic groups. KW - Representations of groups. KW - Algebras, Linear. KW - Geometry, Projective. KW - Symmetry groups. KW - Groups, Symmetry KW - Symmetric groups KW - Crystallography, Mathematical KW - Quantum theory KW - Representations of groups KW - Projective geometry KW - Geometry, Modern KW - Linear algebra KW - Algebra, Universal KW - Generalized spaces KW - Mathematical analysis KW - Calculus of operations KW - Line geometry KW - Topology KW - Group representation (Mathematics) KW - Groups, Representation theory of KW - Group theory KW - Algebraic groups, Linear KW - Geometry, Algebraic KW - Algebraic varieties KW - Modular representations of groups. KW - Hecke algebras. KW - Superalgebras. KW - Nonassociative algebras KW - Algebras, Hecke KW - Group algebras UR - https://www.unicat.be/uniCat?func=search&query=sysid:67163866 AB - 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. ER -