Clifford algebras as superalgebras and quantization

DOI10.1007/BF01017920zbMath0572.17002OpenAlexW2040865771MaRDI QIDQ1062124

Dimitry Leites

Publication date: 1984

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017920

zbMATH Keywords

Poisson superalgebraquantizationsButtin bracketsButtin superalgebraClifford superalgebraLie superalgebra of differential operators

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Supermanifolds and graded manifolds (58A50) Poisson algebras (17B63) Geometric quantization (53D50)

Related Items

On the defining relations of quantum superalgebras, The Shapovalov Determinant for the Poisson Superalgebras

Cites Work

• Quantization and commutative superalgebras
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
• Lie superalgebras