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Infinite-Dimensional Lie Algebras
  • V. Kac
  • Mathematics
  • 26 August 1994
Introduction Notational conventions 1. Basic definitions 2. The invariant bilinear form and the generalized casimir operator 3. Integrable representations of Kac-Moody algebras and the weyl group 4.Expand
Vertex algebras for beginners
Preface. 1: Wightman axioms and vertex algebras. 1.1: Wightman axioms of a QFT. 1.2: d = 2 QFT and chiral algebras. 1.3: Definition of a vertex algebra. 1.4: Holomorphic vertex algebras. 2: CalculusExpand
Infinite dimensional Lie algebras: Frontmatter
  • V. Kac
  • Mathematics, Physics
  • 1 September 1990
Introduction Notational conventions 1. Basic definitions 2. The invariant bilinear form and the generalized casimir operator 3. Integrable representations of Kac-Moody algebras and the weyl group 4.Expand
Some remarks on nilpotent orbits
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras.
  • V. Kac, M. Wakimoto
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 July 1988
TLDR
It is shown that the modular invariant representations of the Virasoro algebra Vir are precisely the "minimal series" of Belavin et al. Expand
Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras
This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goesExpand
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