Rei Inoue 2002 J. Phys. A: Math. Gen. 35 1013 doi:10.1088/0305-4470/35/4/314
The lattice Toda field theory and lattice 
algebras for B2 and C2
Rei Inoue
Show affiliations The lattice Toda field theory for finite-dimensional simple Lie algebras is studied. We show that the Poisson structure for the lattice Toda fields is closely related to that for the q-deformed algebra. By making use of this relationship, we construct the lattice algebra. We discuss the cases of B2 and C2 in detail, and associate them with the continuous theory.
- PACS
- MSC
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37J35 Completely integrable systems, topological structure of phase space, integration methods
17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
- Subjects
- Dates
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Issue 4 (1 February 2002)
Received 25 July 2001, in final form 9 November 2001
Published 18 January 2002
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The lattice Toda field theory and lattice algebras for B2 and C2
Rei Inoue 2002 J. Phys. A: Math. Gen. 35 1013
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