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State sums for some super quantum link invariants - MaRDI portal

State sums for some super quantum link invariants (Q2055082)

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State sums for some super quantum link invariants
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    State sums for some super quantum link invariants (English)
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    3 December 2021
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    Summary: We present state sums for quantum link invariants arising from the representation theory of \(U_q(\mathfrak{gl}_{N\mid M})\). We investigate the case of the \(N\)th exterior power of the standard representation of \(U_q(\mathfrak{gl}_{N\mid 1})\) and make explicit the relation with Kashaev invariants. For the entire collection see [Zbl 1466.57001].
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    quantum link invariants
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    \(U_q(\mathfrak{gl}_{N\mid M})\)
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    representation
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    state sum
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    Kashaev invariants.
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