163 citations · 288 across the 36 of their papers we have counts for
4 papers · 1 filter
Idempotents with polynomial coefficients
Alain Lascoux
We combine Young idempotents in the group algebra of the symmetric group with the action of the symmetric group on products of Vandermonde determinants to obtain idempotents with p…
Linear extension sums as valuations of cones
Adrien Boussicault, Valentin Feray, Alain Lascoux +1
The geometric and algebraic theory of valuations on cones is applied to understand identities involving summing certain rational functions over the set of linear extensions of a po…
Deformed Kazhdan-Lusztig elements and Macdonald polynomials
Jan de Gier, Alain Lascoux, Mark Sorrell
We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation…
Generalisation of Scott permanent identity
Alain Lascoux
Scott considered the determinant of 1/(y-z)^2, with y,z running over two sets X,Y of size n, and determined its specialisation when Y and Z are the roots of y^n-a and z^n-b. We giv…