We show that any lattice-ordered group (/-group) G can be/-embedded into continuously many/-groups 11, which are pairwise elementarily inequivalent both as groups and as lattices with constant e. Our groups Hz can be distinguished by group-theoretical first-order properties which are induced by latt
Normal ordering and quantum groups
β Scribed by C. Fronsdal
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 147 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0377-9017
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β¦ Synopsis
The irreducible R-matrices associated with the quantum Llouville and sine Gordon equations were classified by the su(2) index /, 21 integer. We find that the associated quantum field theories must have the following equal time operator product expansions in the lattice approximation e-+~'~b, = _+ l(r//k) e -+"e" + nonsingular operator.
The lattice L-operator is found to have the form exp ~A, where A is the lattice interval and @ is the obvious quantum analogue of the L-matrix of classical Liouville or sine-Gordon field theory.
AMS subject classification (1991). 81-XX.
π SIMILAR VOLUMES
We construct a functor from a certain category of quantum semigroups to a Ε½ Ε½ .. category of quantum groups, which, for example, assigns Fun Mat N to q Ε½ Ε½ .. Ε½ . Fun GL N . Combining with a generalization of the Faddeevα q ReshetikhinαTakhtadzhyan construction, we obtain quantum groups with univers