Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I

DOI10.1007/BF02551076zbMath1112.17301OpenAlexW2061541409MaRDI QIDQ5941957

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Publication date: 16 January 2003

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

Full work available at URL: https://doi.org/10.1007/bf02551076

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

Jacobson generators, Fock representations and statistics of sl(n+1) ⋮ How to realize a Lie algebra by vector fields

Uses Software

• SuperLie

Cites Work

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• Matrix canonical realizations of the Lie algebra u(p,q)
• Conformally equivariant quantization: existence and uniqueness
• Projectively equivariant symbol calculus
• Realisations of the real semisimple Lie algebras: a method of construction
• Boson–fermion representations of Lie superalgebras: The example of osp(1,2)
• A new class of realisations of the Lie algebra so(q, 2n-q)
• On realizations of `nonlinear' Lie algebras by differential operators
• A new class of realisations of the Lie algebra sp(n,R)
• On the realization of semi-simple lie algebras with quantum canonical variables

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