Download E-books Schur Algebras and Representation Theory (Cambridge Tracts in Mathematics) PDF

By Stuart Martin

Schur algebras are an algebraic approach that supply a hyperlink among the illustration idea of the symmetric and basic linear teams. Dr. Martin offers a self-contained account of this algebra and people hyperlinks, protecting the fundamental principles and their quantum analogues. He discusses not just the standard representation-theoretic issues (such as buildings of irreducible modules, the constitution of blocks containing them, decomposition numbers and so forth) but in addition the intrinsic homes of Schur algebras, resulting in a dialogue in their cohomology thought. He additionally investigates the connection among Schur algebras and different algebraic buildings. all through, the process makes use of combinatorial language the place attainable, thereby making the presentation available to graduate scholars. a few themes require effects from algebraic team conception, that are contained in an appendix.

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