Triangular Lie algebra

Triangular module

Let be a triangular Lie algebra over and be a linear form. The triangular module is the induced -module lie

where the vacuum space is the nonzero -module defined by¹

for . This is a direct generalization of the Heisenberg module .

Properties

• Contravariant form on a triangular module

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Footnotes

1. 1988. Vertex operator algebras and the Monster, §1.8, p. 26 ↩