What Is a Young Tableau?
نویسنده
چکیده
Young tableaux are ubiquitous combinatorial objects making important and inspiring appearances in representation theory, geometry and algebra. They naturally arise in the study of symmetric functions, representation theory of the symmetric and complex general linear groups, and Schubert calculus of Grassmannians. Discovering and interpreting enumerative formulas for Young tableaux (and their generalizations) is a core theme of algebraic combinatorics.
منابع مشابه
Combinatorics of Tableau Inversions
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متن کاملThe Representations of the Symmetric Group
In this paper we classify the irreducible representations of the symmetric group Sn and give a proof of the hook formula for the dimension of each irreducible. 1. The Irreducible Representations of Sn We construct the irreducible representations of the symmetric group. The number of irreducible representations of Sn is the number of conjugacy classes of Sn, which is the number of partitions of ...
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تاریخ انتشار 2006