Hecke-clifford Algebras and Spin Hecke Algebras I: the Classical Affine Type

  title={Hecke-clifford Algebras and Spin Hecke Algebras I: the Classical Affine Type},
  author={Wei-Qiang Wang},
Associated to the classical Weyl groups, we introduce the notion of degenerate spin affine Hecke algebras and affine Hecke-Clifford algebras, establish their PBW properties and describe the centers. We further develop connections of these algebras with the usual degenerate (i.e. graded) affine Hecke algebras of Lusztig by introducing a notion of degenerate covering affine Hecke algebras. 

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