163 citations · 288 across the 36 of their papers we have counts for
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Flag varieties and the Yang-Baxter equation
Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon
We investigate certain bases of Hecke algebras defined by means of the Yang-Baxter equation, which we call Yang-Baxter bases. These bases are essentially self-adjoint with respect…
Ribbon Tableaux, Hall-Littlewood Functions, Quantum Affine Algebras and Unipotent Varieties
Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon
We introduce a new family of symmetric functions, which are -analogues of products of Schur functions defined in terms of ribbon tableaux. These functions can be interpreted in…
Crystal Graphs and -Analogues of Weight Multiplicities for the Root System
A. Lascoux, B. Leclerc, J. -Y. Thibon
We give an expression of the -analogues of the multiplicities of weights in irreducible $\sl_{n+1}$-modules in terms of the geometry of the crystal graph attached to the corresp…