3 A pr 2 00 9 DEGENERATE AFFINE HECKE - CLIFFORD ALGEBRAS AND TYPE Q LIE SUPERALGEBRAS
نویسندگان
چکیده
We construct the finite dimensional simple integral modules for the (degenerate) affine Hecke-Clifford algebra (AHCA), H aff Cℓ (d). Our construction includes an analogue of Zelevin-sky's segment representations, a complete combinatorial description of the simple calibrated H aff Cℓ (d)-modules, and a classification of the simple integral H aff Cℓ (d)-modules. Our main tool is an analogue of the Arakawa-Suzuki functor for the Lie superalgebra q(n).
منابع مشابه
ar X iv : 0 90 4 . 04 99 v 1 [ m at h . R T ] 3 A pr 2 00 9 DEGENERATE AFFINE HECKE - CLIFFORD ALGEBRAS AND TYPE Q LIE SUPERALGEBRAS
We construct the finite dimensional simple integral modules for the (degenerate) affine Hecke-Clifford algebra (AHCA), H aff Cℓ (d). Our construction includes an analogue of Zelevin-sky's segment representations, a complete combinatorial description of the simple calibrated H aff Cℓ (d)-modules, and a classification of the simple integral H aff Cℓ (d)-modules. Our main tool is an analogue of th...
متن کاملar X iv : 0 90 4 . 04 99 v 3 [ m at h . R T ] 5 M ay 2 00 9 DEGENERATE AFFINE HECKE - CLIFFORD ALGEBRAS AND TYPE Q LIE SUPERALGEBRAS
We construct the finite dimensional simple integral modules for the (degenerate) affine Hecke-Clifford algebra (AHCA), H aff Cℓ (d). Our construction includes an analogue of Zelevin-sky's segment representations, a complete combinatorial description of the simple calibrated H aff Cℓ (d)-modules, and a classification of the simple integral H aff Cℓ (d)-modules. Our main tool is an analogue of th...
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