Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on S1
نویسندگان
چکیده
منابع مشابه
Tensor product weight modules over the Virasoro algebra
The tensor product of highest weight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [Z] in 1997. Since then the irreducibility problem for the tensor products has been open. In this paper, we determine the necessary and sufficient conditions for these tensor products to be simple. From non-simple tensor products, we can get other interesting simple Vir...
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It is shown that the ternary Virasoro-Witt algebra of Curtright, Fairlie and Zachos can be constructed by applying the Nambu commutator to the vect(1) realization on scalar densities. This construction is generalized to vect(d), but the corresponding 3-algebra fails to close. There has recently been a surge of interest in 3-algebras in M-theory [1, 2, 3, 4], which is closely related to the tern...
متن کامل94 09 06 7 v 1 1 2 Se p 19 94 Extensions of Virasoro group and Virasoro algebra by modules of tensor densities on S 1 Valentin OVSIENKO
We classify non-trivial (non-central) extensions of the group Diff(S1) of all diffeomorphisms of the circle preserving its orientation and of the Lie algebra Vect(S1) of vector fields on S1, by the modules of tensor densities on S1. The result is: 4 non-trivial extensions of Diff(S1) and 7 non-trivial extensions of Vect(S1). Analogous results hold for the Virasoro group and the Virasoro algebra...
متن کاملLie triple derivation algebra of Virasoro-like algebra
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1998
ISSN: 0019-3577
DOI: 10.1016/s0019-3577(98)80024-4