منابع مشابه
Affine Partitions and Affine Grassmannians
We give a bijection between certain colored partitions and the elements in the quotient of an affine Weyl group modulo its Weyl group. By Bott’s formula these colored partitions give rise to some partition identities. In certain types, these identities have previously appeared in the work of Bousquet-Melou-Eriksson, Eriksson-Eriksson and Reiner. In other types the identities appear to be new. F...
متن کاملIntroduction to Affine Grassmannians
3 Uniformization 9 3.1 Uniformization of P1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Affine Loop Group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 Uniformization of general curves . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Applications of uniformization . . . . . . . . . . . . . . . . . . . . . . . . 12 3.5 The Beilinson-Drinfeld Grassmann...
متن کاملAffine Tallini Sets and Grassmannians
In 1982/1983 A. Bichara and F. Mazzocca characterized the Grassmann space Gr(h,A) of index h of an affine space A of dimension at least 3 over a skew–field K by means of the intersection properties of the three disjoint families of maximal singular subspaces of Gr(h,A) and, till now, their result represents the only known characterization of Gr(h,A). If K is a commutative field and A has finite...
متن کاملRadon Transforms on Affine Grassmannians
We develop an analytic approach to the Radon transform f̂(ζ) = ∫ τ⊂ζ f(τ), where f(τ) is a function on the affine Grassmann manifold G(n, k) of k-dimensional planes in Rn, and ζ is a k′-dimensional plane in the similar manifold G(n, k′), k′ > k. For f ∈ Lp(G(n, k)), we prove that this transform is finite almost everywhere on G(n, k′) if and only if 1 ≤ p < (n− k)/(k′− k), and obtain explicit inv...
متن کاملEquations Defining Symmetric Varieties and Affine Grassmannians
Let σ be a simple involution of an algebraic semisimple group G and let H be the subgroup of G of points fixed by σ. If the restricted root system is of type A,C or BC and G is simply connected or if the restricted root system is of type B and G is adjoint, then we describe a standard monomial theory and the equations for the coordinate ring k[G/H ] using the standard monomial theory and the Pl...
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: Journal of Combinatorial Theory, Series A
سال: 1995
ISSN: 0097-3165
DOI: 10.1016/0097-3165(95)90094-2