Poisson reduction of the lattice Kac-Moody algebra
DOI10.1007/BF02071369zbMath0999.37049OpenAlexW1981267198MaRDI QIDQ1292020
P. B. Medvedev, Gleb E. Arutyunov
Publication date: 2 May 2000
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02071369
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
Cites Work
- Central extensions of quantum current groups
- Lattice Wess-Zumino-Witten model and quantum groups
- Quantum R-matrices and factorization problems
- Unitary representations of the Virasoro and super-Virasoro algebras
- Hidden quantum groups inside Kac-Moody algebras
- Lattice conformal theories and their integrable perturbations
- Dressing transformations and Poisson group actions
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