1997/05/07 by M. Lagraa, Lagraa, M., N. Touhami +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.q-alg/9705005
openalex publication_date 1997/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
From the bicovariant first order differential calculus on inhomogeneous Hopf algebra \cal B we construct the set of right-invariant Maurer-Cartan one-forms considered as a right-invariant basis of a bicovariant \cal B-bimodule over which we develop the Woronowicz's general theory of differential calculus on quantum groups. In this formalism, we introduce suitable functionals on \cal B which control the inhomogeneous commutation rules. In particular we find that the homogeneous part of commutation rules between the translations and those between the generators of the homogeneous part of \cal B and translations are controled by different R-matrices satisfying nontrivial characteristic equations.