Bosonic Realizations of the Colour Heisenberg Lie Algebra

DOI10.2991/jnmp.2006.13.s.13zbMath1151.17313arXivmath/0311204OpenAlexW2152637990MaRDI QIDQ3549580

Gunnar Sigurdsson, Sergei D. Silvestrov

Publication date: 5 January 2009

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311204

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75)

Related Items (11)

Generalization of superalgebras to color superalgebras and their representations ⋮ Filiform color Lie superalgebras ⋮ \(\mathbb{Z}_2\times\mathbb{Z}_2\)-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions ⋮ A very proper Heisenberg-Lie Banach \(\ast\)-algebra ⋮ Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations ⋮ \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization ⋮ Cohomology of 3-dimensional color Lie algebras ⋮ Integrable deformations of nilpotent color Lie superalgebras ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2) ⋮ Heisenberg Lie Color Algebras ⋮ Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

Cites Work

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• Central elements of the second order in three-dimensional generalised Lie algebras
• Über die Unbeschränktheit der Operatoren der Quantenmechanik
• Graded tensor calculus
• Casimir invariants, characteristic identities, and Young diagrams for color algebras and superalgebras
• Commutation factors on generalized Lie algebras
• Clifford- and Grassmann-like algebras—Old and new
• Generalized Lie algebras
• The Unboundedness of Quantum-Mechanical Matrices
• Lie superalgebras
• Canonical involutions in three-dimensional generalised Lie algebras

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