Parafermionic Algebras, Their Modules and Cohomologies

DOI10.1007/978-4-431-55285-7_39zbMath1317.81173arXiv1402.7091OpenAlexW1868127593MaRDI QIDQ5261367

Todor Popov

Publication date: 3 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7091

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Graded Lie (super)algebras (17B70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Solvable, nilpotent (super)algebras (17B30) Bergman spaces and Fock spaces (30H20) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

• Unnamed Item
• On the homology of free 2-step nilpotent Lie algebras.
• Lie algebra cohomology and the generalized Borel-Weil theorem
• The paraboson Fock space and unitary irreducible representations of the Lie superalgebra \({\mathfrak{osp}(1|2n)}\)
• From Palev’s Study of Wigner Quantum Systems to New Results on Sums of Schur Functions
• Representation-theoretic interpretation of a formula of D. E. Littlewood
• PARASTATISTICS ALGEBRA, YOUNG TABLEAUX AND THE SUPER PLACTIC MONOID
• A Lie superalgebraic interpretation of the para-Bose statistics
• The parafermion Fock space and explicit \mathfrak{so}(2n+1) representations
• A Generalized Method of Field Quantization

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