Remarks on Quantum Integration

Abstract

We give a general integration prescription for finite dimensional braided Hopf algebras, deriving the N-dimensional quantum superplane integral as an example. The transformation properties of the integral on the quantum plane are found. We also discuss integration on quantum group modules that lack a Hopf structure.

25 pages, many pictures (uses epsf)

Cited by in corpus (3)

• Tensor Products of Principal Unitary Representations of Quantum Lorentz Group and Askey-Wilson Polynomials
• Fourier transform and the Verlinde formula for the quantum double of a finite group
• Invariant integration on orthosymplectic and unitary supergroups