Rapport de Recherche Litp /
Litp research reports
12 pages - Octobre/October 1995 - Document en anglais.
PostScript : Ko /Kb
Titre / Title: Flag Varieties and the Yang-Baxter Equation
Abstract : We investigate certain bases of Hecke algebras defined by means of the Yang-Baxter equation, which we call Yang-Baxter bases; Thes bases are essentially self-adjoint with respect to a canonical bilinear form. In the case of the degenerate Hecke algebra , we identify the coeffcients in the expansion of the Yang-Baxter basis on the usual basis of the algebra (scattering amplitudes in the quantum mechanical interpretation) with specializations of double schubert polynomials. We also describe the expansions associated to other specializations of the generic Hecke algebra.
Publications internes Litp 1995 / Litp research reports 1995