Spinor representations of \(U_q(\widehat{\mathfrak gl}(n))\) and quantum boson-fermion correspondence (Q1284077)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spinor representations of \(U_q(\widehat{\mathfrak gl}(n))\) and quantum boson-fermion correspondence |
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Spinor representations of \(U_q(\widehat{\mathfrak gl}(n))\) and quantum boson-fermion correspondence (English)
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6 September 2000
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The author defines quantum affine Clifford algebras based on the tensor product of a finite dimensional representation and an infinite highest weight representation of \(U_q(\widehat{gl}(n))\) and the solutions of q-KZ equations (quantum Knizhnik-Zamolodchikov equations). Then he constructs quantum spinor representations of \(U_q(\widehat{gl}(n))\) and explains classical and quantum boson-fermion correspondence.
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quantum group
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spinor representation
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boson-fermion correspondence
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