math.QA/9908008 Vertex Operators of Uq[ ̂ gl(N|N)] and Highest Weight Representations of Uq[
نویسندگان
چکیده
We determine the exchange relations of the level-one q-vertex operators of the quantum affine superalgebra Uq[ ̂ gl(N |N)]. We study in details the level-one irreducible highest weight representations of Uq[ ̂ gl(2|2)], and compute the characters and supercharacters associated with these irreducible modules. Mathematics Subject Classifications (1991): 17B37, 81R50, 81R10, 16W30
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math.QA/9905021 Twisted Quantum Affine Superalgebra Uq[gl(m|n) (2)] and New Uq[osp(m|n)] Invariant R-matrices
The minimal irreducible representations of Uq[gl(m|n)], i.e. those irreducible representations that are also irreducible under Uq[osp(m|n)] are investigated and shown to be affinizable to give irreducible representations of the twisted quantum affine superalgebra Uq[gl(m|n) ]. The Uq[osp(m|n)] invariant R-matrices corresponding to the tensor product of any two minimal representations are constr...
متن کاملLevel - One Representations and Vertex Operators of
Level-one representations of the quantum affine superalgebra Uq[ ̂ gl(N |N)] associated to the appropriate non-standard system of simple roots and q-vertex operators (intertwining operators) associated with the level-one modules are constructed explicitly in terms of free bosonic fields. Zhang: Level-One Representations and Vertex Operators of Uq[ ̂ gl(N |N)] 1
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We study the level-one irreducible highest weight representations of the quantum affine superalgebra Uq[ ̂ sl(N |1)], and calculate their characters and supercharacters. We obtain bosonized q-vertex operators acting on the irreducible Uq[ ̂ sl(N |1)]-modules and derive the exchange relations satisfied by the vertex operators. We give the bosonization of the multi-component super t− J model by usi...
متن کاملgl(1|1)] and Associated Vertex Operators
We study the level-one irreducible highest weight representations of Uq[ ̂ gl(1|1)] and associated q-vertex operators. We obtain the exchange relations satisfied by these vertex operators. The characters and supercharacters associated with these irreducible representations are calculated. Mathematics Subject Classifications (1991): 17B37, 81R10, 81R50, 16W30
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We detail the automatic construction of R matrices corresponding to (the tensor products of) the (0̇m|α̇n) families of highest-weight representations of the quantum superalgebras Uq[gl(m|n)]. These representations are irreducible, contain a free complex parameter α, and are 2 dimensional. Our R matrices are actually (sparse) rank 4 tensors, containing a total of 2 components, each of which is in ...
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