JournalsjncgVol. 7, No. 4pp. 1007–1026

Quantum group GL<sub><var>q</var></sub>(2) and quantum Laplace operator via semi-infinite cohomology

  • Igor B. Frenkel

    Yale University, New Haven, USA
  • Anton M. Zeitlin

    Yale University, New Haven, USA
Quantum group GL<sub><var>q</var></sub>(2) and quantum Laplace operator via semi-infinite cohomology cover
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Abstract

We construct the quantum group GLq(2)\mathrm{GL}_q(2) as the semi-infinite cohomology of the tensor product of two braided vertex operator algebras based on the algebra W2W_2 with complementary central charges c+cˉ=28c+\bar{c}=28. 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. 1007–1026

DOI 10.4171/JNCG/142