Quantum Group $GL_q(2)$ and Quantum Laplace Operator via Semi-infinite Cohomology
Representation Theory
2014-03-11 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1110.1696,
title = {Quantum Group $GL_q(2)$ and Quantum Laplace Operator via Semi-infinite Cohomology},
author = {Igor B. Frenkel and Anton M. Zeitlin},
journal= {arXiv preprint arXiv:1110.1696},
year = {2014}
}
Comments
20 pages, v2: typos corrected