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DIRAC COHOMOLOGY FOR DEGENERATE AFFINE HECKE-CLIFFORD ALGEBRAS

DIRAC COHOMOLOGY FOR DEGENERATE AFFINE HECKE-CLIFFORD ALGEBRAS

In this paper, we study the Dirac cohomology theory on a class of algebraic structures. The main examples of this algebraic structure are the degenerate affine Hecke-Clifford algebra of type A n-1 by Nazarov and of classical types by Khongsap-Wang. The algebraic structure contains a remarkable subalgebra, which usually refers …