Download e-book for iPad: Representation Theory of the Symmetric Groups (Cambridge by Tullio Ceccherini-Silberstein,Fabio Scarabotti,Filippo Tolli

By Tullio Ceccherini-Silberstein,Fabio Scarabotti,Filippo Tolli

The illustration conception 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 very important connections to different parts of arithmetic and physics. This self-contained booklet offers a close creation to the topic, masking classical themes resembling the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors additionally current many contemporary advances within the sector, together with Lassalle's personality formulation, the idea of partition algebras, and an exhaustive exposition of the strategy built by means 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 various components, together with algebra, laptop technology, statistical mechanics and theoretical physics.

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Representation Theory of the Symmetric Groups (Cambridge Studies in Advanced Mathematics, 121) by Tullio Ceccherini-Silberstein,Fabio Scarabotti,Filippo Tolli

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