We construct the quantum group as the semi-infinite cohomology of the tensor product of two braided vertex operator algebras based on the algebra with complementary central charges . The conformal field theory version of the Laplace operator on the quantum group is also obtained.
Cite this article
Igor B. Frenkel, Anton M. Zeitlin, Quantum group GL<sub><var>q</var></sub>(2) and quantum Laplace operator via semi-infinite cohomology. J. Noncommut. Geom. 7 (2013), no. 4, pp. 1007–1026DOI 10.4171/JNCG/142