Rational dependence among Hilbert and Poincaré series
نویسندگان
چکیده
منابع مشابه
The MAPLE package for calculating Poincaré series
Abstract. We offer a Maple package Poincare_Series for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/covariants of several binary forms, for the kernel of Weitzenböck derivations,for the bivariate Poincaré series of algebra of covariants of binary d-form and for the multivariate Poincaré series of the algebras of ...
متن کاملHilbert Series and Gelfand Duality
Another example of such a duality are the formulas of Gelfand-Tsetlin for matrix elements of irreducible representations of the algebra of complex matrices with trace 0 and the formulas for coordinates in the group of unitary matrices... In all of these cases the duality consists in the fact that functions of discrete arguments satisfy finite difference equations analogous to differential equat...
متن کاملRational Functions, Labelled Configurations, and Hilbert Schemes
In this paper, we continue the study of the homotopy type of spaces of rational functions from S to CP begun in [3,4]. We prove that, for n > 1, Ratfc(CP ) is homotopy equivalent to Ct(R , S""), the configuration space of distinct points in R with labels in 5 2 "" 1 of length at most k. This desuspends the stable homotopy theoretic theorems of [3, 4]. We also give direct homotopy equivalences b...
متن کاملOn Rational Series and Rational Languages
We study the connections between rational series with coeecients in a semiring and their languages.
متن کاملOn the Zeros of Certain Poincaré Series
We locate all of the zeros of certain Poincaré series associated with the Fricke groups Γ0(2) and Γ ∗ 0(3) in their fundamental domains by applying and extending the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (“On the zeros of Eisenstein series”, 1970).
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 Pure and Applied Algebra
سال: 1985
ISSN: 0022-4049
DOI: 10.1016/0022-4049(85)90005-2