Representations of hyper loop algebras and equivariant map algebras
Vertex constructions in representation theory of infinite dimensional Lie algebra.
Representations of Lie algebras of vector fields on algebraic varieties
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Math, BR-05315970 Sao Paulo - Brazil
[2] Coll Charleston, Dept Math, Charleston, SC 29424 - USA
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 59, n. 9, p. 1258-1270, SEP 2009. |
| Web of Science Citations: | 8 |
| Abstract | |
In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus Omega(R)/dR where R = C{[}t. t(-1), u vertical bar u(2) = t(3) - 2bt(2) + t]. The first realization provides an analogue of Wakimoto's construction for Affine Kac-Moody algebras, but in the setting of the elliptic affine Lie algebra. The second realization gives new types of representations analogous to Imaginary Verma modules in the Affine setting. (c) 2009 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |