Specializations of Grothendieck polynomials
نویسندگان
چکیده
منابع مشابه
Specializations of indecomposable polynomials
We address some questions concerning indecomposable polynomials and their behaviour under specialization. For instance we give a bound on a prime p for the reduction modulo p of an indecomposable polynomial P (x) ∈ Z[x] to remain indecomposable. We also obtain a Hilbert like result for indecomposability: if f(t1, . . . , tr, x) is an indecomposable polynomial in several variables with coefficie...
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متن کاملCombinatorial Formulae for Grothendieck-demazure and Grothendieck Polynomials
∂if = f− sif xi − xi+1 where si acts on f by transposing xi and xi+1 and let π̃i = ∂i(xi(1− xi+1)f) Then the Grothendieck-Demazure polynomial κα, which is attributed to A. Lascoux and M. P. Schützenberger, is defined as κα = x α1 1 x α2 2 x α3 3 ... if α1 ≥ α2 ≥ α3 ≥ ..., i.e. α is non-increasing, and κα = π̃iκαsi if αi < αi+1, where si acts on α by transposing the indices. Example 2.1. Let α = (...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2004
ISSN: 1631-073X
DOI: 10.1016/j.crma.2004.04.015