A Dual Structure for the Quantal Rotation Groups, Su (2)

L. C. Biedenharn and M. A. Lohe
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L. C. Biedenharn: University of Texas at Austin, Center for Particle Physics
M. A. Lohe: University of Texas at Austin, Center for Particle Physics

A chapter in Symmetries in Science VIII, 1995, pp 37-47 from Springer

Abstract: Abstract The Lie algebra of SU(2) can be extended to the universal enveloping algebra and embedded in a non-commutative, co-commutative Hopf algebra. We demonstrate that this structure, for SU(2), permits a dual structure to be defined, which is again a Hopf algebra of the same type but with a deformed algebra. In the limit of no deformation, this dual Hopf algebra has the Lie algebra of SU(2).

Keywords: Tensor Product; Commutation Relation; Hopf Algebra; Coupling Coefficient; Dual Group (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1915-7_5

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DOI: 10.1007/978-1-4615-1915-7_5

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