Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras. (Q636787)
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| Language | Label | Description | Also known as |
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| English | Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras. |
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Degenerate affine Hecke-Clifford algebras and type \(Q\) Lie superalgebras. (English)
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30 August 2011
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This paper constructs the finite dimensional simple integral modules and the simple calibrated modules for the (degenerate) affine Hecke-Clifford algebra (AHCA), \(\mathcal H_{\mathcal C\ell}^{\text{aff}}(d)\). The main tool is an analogue of the Arakawa-Suzuki functor for the Lie superalgebra \(\mathfrak q(n)\).
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spin symmetric groups
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affine Hecke-Clifford algebras
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queer Lie superalgebras
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categorifications of quantum groups
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finite-dimensional simple integral modules
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