Central extensions of classical and quantum q-Viraroso algebras

Details Central extensions of classical and quantum q-Viraroso algebras Central extensions of classical and quantum q-Viraroso algebras

1998-06-11

arxiv.org/abs/math/9806065v1

Phys.Lett. A251 (1999) 13

Mathematics

Quantum Algebra

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Scientific paper

10.1016/S0375-9601(98)00864-0

We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A_{q,p}[sl(N)_c]. After establishing the expressions of the cocycle conditions, we solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that those found previously in the literature.

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