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hep-th1996★ 1 cited
Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators
P. Marcel, V. Ovsienko, C. Roger
We consider the universal central extension of the Lie algebra $\Vect (S^1)${\math \s}. The coadjoint representation of this Lie algebra has a natural geometric i…
hep-th1994★ 10 cited
Extensions and contractions of the Lie algebra of q-pseudodifferential symbols
Boris Khesin, Volodymyr Lyubashenko, Claude Roger
We construct cocycles on the Lie algebra of pseudo- and q-pseudodifferential symbols of one variable and on their close relatives: the sine-algebra and the Poisson algebra on two-t…