m at h . A G ] 2 3 A ug 2 00 4 BIVARIATE HYPERGEOMETRIC D - MODULES
نویسندگان
چکیده
We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holonomic rank as well as bases of their spaces of complex holomorphic solutions. We also obtain analogous results for the generalized hypergeometric systems arising from lattices of any rank.
منابع مشابه
ar X iv : m at h / 06 10 35 3 v 3 [ m at h . A G ] 2 7 M ar 2 00 8 BINOMIAL D - MODULES
We study quotients of the Weyl algebra by left ideals whose generators consist of an arbitrary Z-graded binomial ideal I in C[∂1, . . . , ∂n] along with Euler operators defined by the grading and a parameter β ∈ C. We determine the parameters β for which these D-modules (i) are holonomic (equivalently, regular holonomic, when I is standard-graded); (ii) decompose as direct sums indexed by the p...
متن کاملar X iv : 0 70 4 . 29 36 v 3 [ m at h - ph ] 9 A ug 2 00 7 GENERALIZED MICZ - KEPLER PROBLEMS AND UNITARY HIGHEST WEIGHT MODULES – II
For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem has an g Spin(2, 2n+1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight g Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification diagram for the unitary highest ...
متن کاملar X iv : 0 90 8 . 19 89 v 1 [ m at h . A G ] 1 3 A ug 2 00 9 D - MODULES ON 1 | 1 SUPERCURVES
It is known that to every (1|1) dimensional supercurve X there is associated a dual supercurve X̂ , and a superdiagonal ∆ ⊂ X × X̂. We establish that the categories of D-modules on X , X̂ and ∆ are equivalent. This follows from a more general result about D-modules and purely odd submersions. The equivalences preserve tensor products, and take vector bundles to vector bundles. Line bundles with co...
متن کاملar X iv : m at h / 04 04 01 9 v 2 [ m at h . C O ] 2 6 A ug 2 00 5 LAPLACIAN OPERATORS AND RADON TRANSFORMS ON GRASSMANN GRAPHS
Let Ω be a vector space over a finite field with q elements. Let G denote the general linear group of endomorphisms of Ω and let us consider the left regular representation ρ : G → B(L 2 (X)) associated to the natural action of G on the set X of linear subspaces of Ω. In this paper we study a natural basis B of the algebra End G (L 2 (X)) of intertwining maps on L 2 (X). By using a Laplacian op...
متن کاملar X iv : m at h / 05 01 13 9 v 2 [ m at h . FA ] 1 A ug 2 00 5 Stability of Adjointable Mappings in Hilbert C ∗ - Modules ∗
The generalized Hyers–Ulam–Rassias stability of adjointable mappings on Hilbert C∗-modules is investigated. As a corollary, we establish the stability of the equation f(x)∗y = xg(y)∗ in the context of C∗-algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008