A spinor representation of an infinite-dimensional orthogonal semigroup and the Virasoro algebra

DOI10.1007/BF01079525zbMath0705.17021OpenAlexW1997086131MaRDI QIDQ917675

Yuriĭ A. Neretin

Publication date: 1989

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01079525

zbMATH Keywords

Riemann surfacesHilbert spaceVirasoro algebralinear bundleprojective representationdiffeomorphism group of the circleHilbert-Schmidt operatoranalytic orientation preserving diffeomorphismsBerezin operatorscategory ShtanFermion Fock spaceirreducible highest weight representationSiegel-Kirillov domain

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Cites Work

• Versal deformations in the space of planar curves of fixed degree
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Quantum field theory, Grassmannians, and algebraic curves
• Extremum functions of finite families of convex homogeneous functions
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Deformations of bouquets of quasihomogeneous one-dimensional singularities
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