Scattering matrices and affine Hecke algebras
Vincent Pasquier
Abstract
We construct the scattering matrices for an arbitrary Weyl group in terms of elementary operators which obey the generalised Yang-Baxter equation. We use this construction to obtain the affine Hecke algebras. The center of the affine Hecke algebras coincides with commuting Hamiltonians. These Hamiltonians have q-deformed affine Lie algebras as symmetry algebra.
Create a lesson
Related papers
Coherence Constraints for Operads, Categories and Algebras
Martin Markl, Steve Shnider
Affine Sergeev Algebra and q-Analogues of the Young Symmetrizers for Projective Representations of the Symmetric Group
Andrew Jones, Maxim Nazarov
Nonsymmetric Koornwinder polynomials and duality
Siddhartha Sahi
Capelli Identities for Classical Lie Algebras
Alexander Molev, Maxim Nazarov
On modules associated to coalgebra Galois extensions
Tomasz Brzezinski
Web bases for sl(3) are not dual canonical
Mikhail Khovanov, Greg Kuperberg