Non-Commutative Groups by a Bicrossproduct Construction: Hopf Algebras at the Planck Scale.
Abstract
We construct new examples of non-commutative non -cocommutative Hopf and Hopf-von Neumann algebras by a novel bicrossproduct construction. They have remarkable duality properties and are interpreted in the context of Non-commutative Geometry as algebraic systems combining quantum mechanics and gravity.
- Publication:
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Ph.D. Thesis
- Pub Date:
- 1988
- Bibcode:
- 1988PhDT.......185M
- Keywords:
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- Physics: Elementary Particles and High Energy; Mathematics; Physics: General