BOOK-CHAPTER
On the Connection of Certain Lie Algebras with Vertex Algebras
Year: 2010 Cambridge University Press eBooks Pages: 236-254 Publisher: Cambridge University Press
Abstract
In this paper we survey the connection of certain infinite-dimensional Lie algebras, including twisted and untwisted affine Lie algebras, toroidal Lie algebras and quantum torus Lie algebras, with vertex algebras.
Keywords:
Lie conformal algebra Mathematics Non-associative algebra Connection (principal bundle) Killing form Affine Lie algebra Pure mathematics Adjoint representation of a Lie algebra Representation of a Lie group Lie algebra Vertex (graph theory) Generalized Kac–Moody algebra Affine transformation Algebra over a field Current algebra Discrete mathematics Geometry
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Topics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
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