Flag Varieties and the Yang-baxter Equation

@inproceedings{Lascoux1996FlagVA,
  title={Flag Varieties and the Yang-baxter Equation},
  author={Alain Lascoux and Bernard Leclerc and Jean-Yves Thibon},
  year={1996}
}
We investigate certain bases of Hecke algebras deened by means of the Yang-Baxter equation, which we call Yang-Baxter bases. These bases are essentially self-adjoint with respect to a canonical bilinear form. In the case of the degenerate Hecke algebra, we identify the coeecients in the expansion of the Yang-Baxter basis on the usual basis of the algebra with specializations of double Schubert polynomials. We also describe the expansions associated to other specializations of the generic Hecke… CONTINUE READING
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