Abstract
This introductory chapter is intended to provide the reader with some definitions and results on Lie algebras, which belong to the basic concepts of algebra, and which in particular are essential with respect to the so-called q-deformation of the universal enveloping algebra of a semisimple finite-dimensional complex Lie algebra. Chap. 8 will be concerned with an extensive presentation of the mathematical framework of these q-deformations, which are called quantum algebras, as some special kind of quantum groups.
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© 1996 Springer-Verlag Berlin Heidelberg
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(1996). Lie Algebras. In: Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups. Lecture Notes in Physics Monographs, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47801-0_2
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DOI: https://doi.org/10.1007/978-3-540-47801-0_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60587-4
Online ISBN: 978-3-540-47801-0
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