HOMFLY-PT and Alexander polynomials from a doubled Schur algebra (Q1651610)

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HOMFLY-PT and Alexander polynomials from a doubled Schur algebra
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    HOMFLY-PT and Alexander polynomials from a doubled Schur algebra (English)
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    12 July 2018
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    Summary: We define a generalization of the Schur algebra which gives a unified setting for a quantum group presentation of the HOMFLY-PT polynomial, together with its specializations to the Alexander polynomial and to the \(\mathfrak {sl}_m\) Reshetikhin-Turaev invariant.
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    Schur algebras
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    knot invariants
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    Alexander polynomial
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    HOMFLY-PT polynomial
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    Reshetikhin-Turaev invariants
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