TY - JOUR
T1 - Vertex-algebraic structure of principal subspaces of standard A (2)2-modules, i
AU - Calinescu, C.
AU - Lepowsky, J.
AU - Milas, A.
N1 - Funding Information:
C. Calinescu was partially supported by PSC CUNY grant TRADA-44-193.
PY - 2014/6
Y1 - 2014/6
N2 - 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 A2(2)-module and explore its structure in depth.
AB - 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 A2(2)-module and explore its structure in depth.
KW - Twisted affine Lie algebras
KW - presentation of principal subspace
KW - twisted vertex-algebra modules
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U2 - 10.1142/S0129167X14500633
DO - 10.1142/S0129167X14500633
M3 - Article
AN - SCOPUS:84905085990
SN - 0129-167X
VL - 25
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 7
M1 - 1450063
ER -