Title: Linear and Projective Representations of Symmetric Groups
Description: 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 combinatorics, Lie theory, and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski, Brundan, and the author. Much of this work has only appeared in the research literature before. However, to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. This unique book will be welcomed by graduate students and researchers as a modern account of the subject.
Subjects: Mathematics, Nonfiction, Representations of groups, Algebras, linear, Geometry, projective, Group theory, Algebra