The Lie algebra of sl(2)-valued automorphic functions on a torus
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
It is shown that the Lie algebra of the automorphic, meromorphic sl(2, C) -valued functions on a torus is a geometric realization of a certain infinite-dimensional finitely generated Lie algebra. In the trigonometric limit, when the modular parameter of the torus goes to zero, the former Lie algebra goes over into the sl(2,C) -valued loop algebra, while the latter one - into the Lie algebra (sl(2)^)'/(centre) .
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Cite
@article{arxiv.hep-th/9302138,
title = {The Lie algebra of sl(2)-valued automorphic functions on a torus},
author = {D. B. Uglov},
journal= {arXiv preprint arXiv:hep-th/9302138},
year = {2009}
}
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13 pages