The volume of the N-fold reduced product of coadjoint orbits

Abstract

We compute the symplectic volume of the symplectic reduced space of the product of N coadjoint orbits of a compact connected Lie group G. We compare our result with the result of Suzuki and Takakura , who study this in the case G = SU(3) starting from geometric quantization.

35 pages

References in corpus (1)

• Intersection pairings in the N-fold reduced product of adjoint orbits