Abstract
The aim of this chapter is to define the quantized universal enveloping algebras, called Drinfeld-Jimbo algebras, and to develop basic algebraic structures and results on these algebras such as the Poincaré-Birkhoff-Witt theorem, braid group actions, Verma modules, quantum Killing forms, quantum Casimir elements, centers and Harish-Chandra homomorphisms.
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© 1997 Springer-Verlag Berlin Heidelberg
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Klimyk, A., Schmüdgen, K. (1997). Drinfeld-Jimbo Algebras. In: Quantum Groups and Their Representations. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60896-4_6
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DOI: https://doi.org/10.1007/978-3-642-60896-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64601-0
Online ISBN: 978-3-642-60896-4
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