Lie Algebra of Noncommutative Inhomogeneous Hopf Algebra

Mathematics – Quantum Algebra

Scientific paper

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11 pages, LaTeX, no figures

Scientific paper

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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