Vertex-algebraic structure of principal subspaces of standard A_2^{(2)}-modules, I
Quantum Algebra
2014-02-18 v2 Representation Theory
Abstract
Extending earlier work of the authors, this is the first in a series of papers devoted to the vertex-algebraic structure of principal subspaces of standard modules for twisted affine Kac-Moody algebras. In this part, we develop the necessary theory of principal subspaces for the affine Lie algebra A_2^{(2)}, which we expect can be extended to higher rank algebras. As a "test case," we consider the principal subspace of the basic A_2^{(2)}-module and explore its structure in depth.
Keywords
Cite
@article{arxiv.1402.3026,
title = {Vertex-algebraic structure of principal subspaces of standard A_2^{(2)}-modules, I},
author = {Corina Calinescu and James Lepowsky and Antun Milas},
journal= {arXiv preprint arXiv:1402.3026},
year = {2014}
}
Comments
35 pages. Some necessary technical background on the construction of twisted modules previously also recalled in arXiv:math/0609656 and in arXiv:1310.1958 is included for the sake of readability