On Lagrange Interpolation at Disturbed Roots of Unity
نویسندگان
چکیده
منابع مشابه
On Hadamard Matrices at Roots of Unity
Abstract. We study Hadamard matrices of order n, formed by l-th roots of unity. A main problem is to find the allowed values of (n, l), and we discuss here the following statement: for l = pa 1 . . . pa s we must have n ∈ p1+. . .+psN. For s = 1 this is a previously known result, for s = 2, 3 this is a result that we prove in this paper, and for s ≥ 4 this is a conjecture that we raise. We pres...
متن کاملOn Multivariate Lagrange Interpolation
Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences. We prove that the finite difference admits an integral representation involving simplex spline functions. In particular, this provides a remainder formul...
متن کاملHall-Littlewood functions at roots of unity
Hall-Littlewood functions indexed by rectangular partitions, specialized at primitive roots of unity, can be expressed as plethysms. We propose a combinatorial proof of this formula using A. Schilling’s bijection between ribbon tableaux and ribbon rigged configurations.
متن کاملTHE q–CHARACTERS AT ROOTS OF UNITY
We consider various specializations of the untwisted quantum affine algebras at roots of unity. We define and study the q–characters of their finite-dimensional representations.
متن کاملQuantum Affine Algebras at Roots of Unity
Let Uq(ĝ) be the quantized universal enveloping algebra of the affine Lie algebra ĝ associated to a finite-dimensional complex simple Lie algebra g, and let U res q (ĝ) be the C[q, q−1]-subalgebra of Uq(ĝ) generated by the q-divided powers of the Chevalley generators. Let U res (ĝ) be the Hopf algebra obtained from U res q (ĝ) by specialising q to a non-zero complex number of odd order. We clas...
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: Transactions of the American Mathematical Society
سال: 1993
ISSN: 0002-9947
DOI: 10.2307/2154377