Open AccessOn certain Hecke rings
Author(s) -
Sam Evens,
Paul Bressler
Publication year - 1987
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.84.3.624
Subject(s) - hecke algebra , mathematics , subalgebra , ring (chemistry) , hecke operator , pure mathematics , braid group , group (periodic table) , algebra over a field , group ring , field (mathematics) , modular form , chemistry , organic chemistry
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.