Duality of domination principle for non-symmetric lower semi-continuous function-kernels
نویسندگان
چکیده
منابع مشابه
Semi-skyline augmented fillings and non-symmetric Cauchy kernels for stair-type shapes
Using an analogue of the Robinson-Schensted-Knuth (RSK) algorithm for semi-skyline augmented fillings, due to Sarah Mason, we exhibit expansions of non-symmetric Cauchy kernels ∏ (i,j)∈η(1 − xiyj) −1, where the product is over all cell-coordinates (i, j) of the stair-type partition shape η, consisting of the cells in a NW-SE diagonal of a rectangle diagram and below it, containing the biggest s...
متن کاملNon{symmetric Jack Polynomials and Integral Kernels
We investigate some properties of non-symmetric Jack, Hermite and Laguerre polynomials which occur as the polynomial part of the eigenfunctions for certain Calogero-Sutherland models with exchange terms. For the non-symmetric Jack polynomials, the constant term normalization N is evaluated using recurrence relations, and N is related to the norm for the non-symmetric analogue of the power-sum i...
متن کاملIndependence - domination duality
Given a system G = (G1,G2, . . . ,Gm) of m graphs on the same vertex set V , define the “joint independence number” α∩(G) as the maximal size of a set which is independent in all graphs Gi . Let also γ∪(G) be the “collective domination number” of the system, which is the minimal number of neighborhoods, each taken from any of the graphs Gi , whose union is V . König’s classical duality theorem ...
متن کاملAction Principle for Non-Abelian Twisted Self-Duality
The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. The latter play an important role in exposing the duality symmetries of the theory. I this contribution I review recent progress in the construction of action principles for these equations and in particular their non-abelian generalizations.
متن کاملNon-symmetric Cauchy kernels for the classical groups
We give non-symmetric versions of the Cauchy kernel and Littlewood’s kernels, corresponding to the types An, Bn, Cn and Dn, of the classical groups. We show that these new kernels are diagonal in the basis of two families of key polynomials (one of them being Demazure characters) obtained as images of dominant monomials under isobaric divided differences. We define scalar products such that the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1975
ISSN: 0018-2079
DOI: 10.32917/hmj/1206136546