6533b7d8fe1ef96bd126a2d7
RESEARCH PRODUCT
Quantum and Braided Integrals
Chryssomalis Chryssomalakossubject
High Energy Physics - TheoryPure mathematicsQuantum affine algebraQuantum groupFOS: Physical sciencesRepresentation theory of Hopf algebrasMathematical Physics (math-ph)Quasitriangular Hopf algebraHopf algebraFiltered algebraAlgebraHigh Energy Physics - Theory (hep-th)Mathematics::Quantum AlgebraMathematics - Quantum AlgebraFOS: MathematicsQuantum Algebra (math.QA)QuantumMathematical PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-04-03 | Proceedings of Corfu Summer Institute on Elementary Particle Physics — PoS(corfu98) |