منابع مشابه
Kronecker Conjugacy of Polynomials
Let f, g ∈ Z[X] be non-constant polynomials with integral coefficients. In 1968 H. Davenport raised the question as to when the value sets f(Z) and g(Z) are the same modulo all but finitely many primes. The main progress until now is M. Fried’s result that f and g then differ by a linear substitution, provided that f is functionally indecomposable. We extend this result to polynomials f of comp...
متن کاملAn Infinite Series of Kronecker Conjugate Polynomials
Let K be a field of characteristic 0, t a transcendental over K, and Γ be the absolute Galois group of K(t). Then two non-constant polynomials f, g ∈ K[X] are said to be Kronecker conjugate if an element of Γ fixes a root of f(X) − t if and only if it fixes a root of g(X) − t. If K is a number field, and f, g ∈ OK [X] where OK is the ring of integers of K, then f and g are Kronecker conjugate i...
متن کاملCharacter Polynomials, their q-Analogs and the Kronecker Product
Dedicated to Anders Björner on the occasion of his sixtieth birthday. Abstract The numerical calculation of character values as well as Kronecker coefficients can efficently be carried out by means of character polynomi-als. Yet these polynomials do not seem to have been given a proper role in present day literature or software. To show their remarkable simplicity we give here an " umbral " ver...
متن کاملOn rectangular Kronecker coefficients
We show that rectangular Kronecker coefficients stabilize when the lengths of the sides of the rectangle grow, and we give an explicit formula for the limit values in terms of invariants of sln.
متن کاملEla on Kronecker Quotients
Leopardi introduced the notion of a Kronecker quotient in [Paul Leopardi. A generalized FFT for Clifford algebras. Bulletin of the Belgian Mathematical Society, 11:663–688, 2005.]. This article considers the basic properties that a Kronecker quotient should satisfy and additional properties which may be satisfied. A class of Kronecker quotients for which these properties have a natural descript...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2011
ISSN: 0035-7596
DOI: 10.1216/rmj-2011-41-3-707