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Showing 2006 · math.COShow all
3 papers · 2 filters
math.CO2006
The 6 Vertex Model and Schubert Polynomials
Alain Lascoux
We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The result…
math.CO2006★ 6 cited
Non-Symmetric Hall-Littlewood Polynomials
Francois Descouens, Alain Lascoux
Using the action of the Yang-Baxter elements of the Hecke algebra on polynomials, we define two bases of polynomials in n variables. The Hall-Littlewood polynomials are a subfamily…
math.CO2006
The differential equation satisfied by a plane curve of degree n
Alain Lascoux
Eliminating the arbitrary coefficients in the equation of a generic plane curve of order by computing sufficiently many derivatives, one obtains a differential equation. This i…