Bicovariant differential calculus on quantum groups from Poisson Lie structures

1994/06/30 by Aref'eva, I. Ya., Arutyunov, G. E., Medvedev, P. B.
#FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.hep-th/9406205

Abstract

The aim of this lecture is to give a pedagogical explanation of the notion of a Poisson Lie structure on the external algebra of a Poisson Lie group which was introduced in our previous papers. Using this notion as a guide we construct quantum external algebras on SL_q(N) with proper (classical) dimension.

Related

• Quantization of the external algebra on a Poisson-Lie group
• Quantizations of some Poisson-Lie groups: The bicrossed product construction
• Poisson-Lie structures on the external algebra of SL(2) and their quantization
• Semi-classical differential structures
• Differential calculus on quantum groups: Constructive procedure