On certain Hecke rings.
We examine rings that embed into the smash product of the group algebra of the Weyl group with the field of meromorphic functions on the Cartan subalgebra and are generated by elements that satisfy braid relations. We prove that every such ring is isomorphic to either the Hecke algebra, the nil Hecke ring, or the group algebra of the Weyl group.
Evens
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S
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139.
Bressler
P
P