an:01365716
Zbl 0928.17013
Lagraa, M.; Touhami, N.
Lie-algebraic structure from inhomogeneous Hopf algebras
EN
J. Math. Phys. 39, No. 9, 5007-5014 (1998).
00058771
1998
j
17B37 16W35 81R50 16W30 58B32
bicovariant differential calculus; inhomogeneous Hopf algebra
The authors construct Lie algebras of inhomogeneous quantum groups using the approach based on a bicovariant differential calculus on an inhomogeneous Hopf algebra studied in their preprint [The noncommutative Hopf algebra, http://xxx.lanl.gov/abs/q-alg/9705005]. This approach allows them to construct the vector space dual to the right-invariant differential one-forms which is equipped with a Hopf algebra structure which closes on a quantum Lie algebra satisfying a quantum Jacobi identity.
O.Ninnemann (Berlin)