Young Tableaux: With Applications To Representation Theory And Geometry (london Mathematical Society Student Texts, Vol. 35)
by William Fulton /
1997 / English / PDF
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This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several interesting correspondences.