779 citations
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Showing 1995Show all
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hep-th1995★ 2 cited
Classical and Quantum Nonultralocal Systems on the Lattice
M. A. Semenov-Tian-Shansky, A. V. Sevostyanov
We classify nonultralocal Poisson brackets for 1-dimensional lattice systems and describe the corresponding regularizations of the Poisson bracket relations for the monodromy matri…
q-alg1995★ 65 cited
Cohomology and Deformation of Leibniz Pairs
M. Flato, M. Gerstenhaber, A. A. Voronov
Cohomology and deformation theories are developed for Poisson algebras starting with the more general concept of a Leibniz pair, namely of an associative algebra together with…