Bosonisation and Parastatistics

K. Kanakoglou () and C. Daskaloyannis ()
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K. Kanakoglou: Aristotle University of Thessaloniki, Department of Physics
C. Daskaloyannis: Aristotle University of Thessaloniki, Department of Mathematics

Chapter 18 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 207-218 from Springer

Abstract: Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation technique for switching a Hopf algebra in a braided category H ℳ (H: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.

Keywords: Hopf Algebra; Tensor Algebra; Cross Product Algebra; Braided Category; Quasitriangular Hopf Algebra (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/978-3-540-85332-9_18

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