Fock representations of the superalgebrasl(n+1|m), its quantum analogueUq[sl(n+1|m)] and related quantum statistics

DOI10.1088/0305-4470/33/13/307zbMath1028.17006arXivmath-ph/0002041OpenAlexW2085844733MaRDI QIDQ4507615

Neli I. Stoilova, Tchavdar D. Palev, Joris Van der Jeugt

Publication date: 8 October 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0002041

zbMATH Keywords

quantum algebrasLie superalgebraFock space representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras ⋮ Jacobson generators of the quantum superalgebra Uq[sl(n+1|m) and Fock representations] ⋮ Jacobson generators, Fock representations and statistics of sl(n+1) ⋮ Leibniz algebras of Heisenberg type ⋮ A classification of generalized quantum statistics associated with basic classical Lie superalgebras

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