Group Theory

Download E-books Representation Theory of the Symmetric Groups: The Okounkov-Vershik Approach, Character Formulas, and Partition Algebras (Cambridge Studies in Advanced Mathematics) PDF

By Tullio Ceccherini-Silberstein

The illustration thought of the symmetric teams is a classical subject that, because the pioneering paintings of Frobenius, Schur and younger, has grown right into a large physique of thought, with many vital connections to different parts of arithmetic and physics. This self-contained ebook offers an in depth creation to the topic, masking classical subject matters resembling the Littlewood-Richardson rule and the Schur-Weyl duality. Importantly the authors additionally current many fresh advances within the sector, together with Lassalle's personality formulation, the speculation of partition algebras, and an exhaustive exposition of the procedure constructed by way of A. M. Vershik and A. Okounkov. A wealth of examples and routines makes this a fantastic textbook for graduate scholars. it's going to additionally function an invaluable reference for more matured researchers throughout a variety of parts, together with algebra, desktop technological know-how, statistical mechanics and theoretical physics.

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