منابع مشابه
A Geometric Littlewood-richardson Rule
We describe an explicit geometric Littlewood-Richardson rule, interpreted as deforming the intersection of two Schubert varieties so that they break into Schubert varieties. There are no restrictions on the base field, and all multiplicities arising are 1; this is important for applications. This rule should be seen as a generalization of Pieri’s rule to arbitrary Schubert classes, by way of ex...
متن کاملOn a Theorem of Richardson
Given a set 5 with an irreflexive relation >, define the operators dom and max as follows. For any subset T of S, dom T is the set of all x in 5 such that for some t\nT,t>x; max T= T — dom T. A solution of (S, >) is a subset T of 5 satisfying T = S — dom T. A solution of an w-person game in the sense of [3] is precisely a solution, as just defined, of a certain system (S, >) associated with the...
متن کاملA polynomiality property for Littlewood-Richardson coefficients
We present a polynomiality property of the Littlewood-Richardson coefficients c λμ . The coefficients are shown to be given by polynomials in λ, μ and ν on the cones of the chamber complex of a vector partition function. We give bounds on the degree of the polynomials depending on the maximum allowed number of parts of the partitions λ, μ and ν. We first express the Littlewood-Richardson coeffi...
متن کاملFrancis Richardson Cross
sometimes referred with very natural pride. It was in 1878 that he was invited to come to University College, Bristol, as Lecturer in Anatomy, and in the same year he was appointed Assistant Surgeon to the Bristol Royal Infirmary. A year later he became full surgeon, and in 1880 he was appointed Dean of the Faculty of Medicine at University College. Thus, to use his own expression, he had not b...
متن کاملLittlewood–Richardson polynomials
We introduce a family of rings of symmetric functions depending on an infinite sequence of parameters. A distinguished basis of such a ring is comprised by analogues of the Schur functions. The corresponding structure coefficients are polynomials in the parameters which we call the Littlewood–Richardson polynomials. We give a combinatorial rule for their calculation by modifying an earlier resu...
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ژورنال
عنوان ژورنال: American Journal of Sociology
سال: 1910
ISSN: 0002-9602,1537-5390
DOI: 10.1086/211813