Quantum and Braided Integrals

Details Quantum and Braided Integrals Quantum and Braided Integrals

2001-04-03

arxiv.org/abs/math-ph/0104006v2

JHEP Proceedings of the Corfu Summer Institute on Elementary Particle Physics, Corfu, Greece, 1998

Physics

Mathematical Physics

10 pages, many figures

Scientific paper

We give a pedagogical introduction to integration techniques appropriate for non-commutative spaces while presenting some new results as well. A rather detailed discussion outlines the motivation for adopting the Hopf algebra language. We then present some trace formulas for the integral on Hopf algebras and show how to treat the $\int 1=0$ case. We extend the discussion to braided Hopf algebras relying on diagrammatic techniques. The use of the general formulas is illustrated by explicitly worked out examples.

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