Towards applications of graded Paraparticle algebras
Published:
Nov 23, 2019
Keywords:
Relative Paraparticle algebras general linear superalgebra multiple-level system
Abstract
An outline is sketched, of applications of the ideas and the mathematical methods presented at the 19th symposium of the Hnps in Thessaloniki, May 2010
Article Details
- How to Cite
-
Kanakoglou, K., & Hererra-Aguilar, A. (2019). Towards applications of graded Paraparticle algebras. HNPS Advances in Nuclear Physics, 18, 181–185. https://doi.org/10.12681/hnps.2550
- Issue
- Vol. 18 (2010): HNPS2010
- Section
- Oral contributions
References
K.Kanakoglou, A.Herrera-Aguilar, “Ladder Operators, Fock Spaces, Ir- reducibility and Group-Gradings for the Relative Parabose Set algebra”, Intern. J. of Algebra, v.5, 9, 2011, p.413-428
K. Kanakoglou, C. Daskaloyannis, A. Herrera-Aguilar, “Super-Hopf realizations of Lie superalgebras: Braided Paraparticle extensions of the Jordan-Schwinger map”, AIP Conf. Proc., v.1256, 2010, p.193-200
K.Kanakoglou, A.Herrera-Aguilar, “Graded Fock-like representations for a system of algebraically interacting paraparticles”, submitted at J. of Physics Conf. Ser. (for the Proceedings of the Xiv Mexican School on Particles and Fields, Morelia, Mexico, 04-12 November 2010)
K. Kanakoglou, C. Daskaloyannis, A. Herrera-Aguilar, “Mixed Paraparticles, Colors, Braidings and a class of Realizations for Lie superalgebras”, arXiv:0912.1070v1 [math-ph]
K. Kanakoglou, A. Herrera-Aguilar, “On a class of Fock-like representations for Lie superalgebras”, arXiv:1104.0696v1 [math.RT]
K. Kanakoglou, A. Herrera-Aguilar, “Fock-type modules for algebras defined in terms of generators and relations”, under preparation
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