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math.QA2001
Coherent transforms and irreducible representations corresponding to complex structures on a cylinder and on a torus
M. V. Karasev, E. M. Novikova
We study a class of algebras with non-Lie commutation relations whose symplectic leaves are surfaces of revolution: a cylinder or a torus. Over each of such surfaces we introduce a…
math.QA2001
Quantum surfaces, special functions, and the tunneling effect
M. V. Karasev
The notion of quantum embedding is considered for two classes of examples: quantum coadjoint orbits in Lie coalgebras and quantum symplectic leaves in spaces with non-Lie permutati…