East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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COMBINATORIAL WEBS OF QUANTUM LIE SUPERALGEBRA sl(1|1)

  • Received : 2009.03.11
  • Accepted : 2009.10.23
  • Published : 2009.12.31
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Abstract

Temperley-Lieb algebras had been generalized to web spaces for rank 2 simple Lie algebras which led us to link invariants for these Lie algebras as a generalization of Jones polynomial. Recently, Geer found a new generalization of Jones polynomial for some Lie superalgebras. In this paper, we study the quantum sl(1|1) representation theory using the web space and find a finite presentation of the representation category (for generic q) of the quantum sl(1|1).

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