Vertex-algebraic structure of principal subspaces of standard A (2)2-modules, i

C. Calinescu, J. Lepowsky, A. Milas

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17 Scopus citations


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.

Original languageEnglish (US)
Article number1450063
JournalInternational Journal of Mathematics
Issue number7
StatePublished - Jun 2014

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • Twisted affine Lie algebras
  • presentation of principal subspace
  • twisted vertex-algebra modules


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