Lie Algebra of Noncommutative Inhomogeneous Hopf Algebra
M. Lagraa, N. Touhami
Abstract
We construct the vector space dual to the space of right-invariant differential forms construct from a first order differential calculus on inhomogeneous quantum group. We show that this vector space is equipped with a structure of a Hopf algebra which closes on a noncommutative Lie algebra satisfying a Jacobi identity.
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