Quantum Lie Algebras and Related Problems

V. K. Kharchenko ()
Additional contact information
V. K. Kharchenko: Universidad Nacional Autónoma de México, Campus Cuautitlan, Cuautitlan Izcalli

A chapter in Proceedings of the Third International Algebra Conference, 2003, pp 67-114 from Springer

Abstract: Abstract The notion of quantum Lie operation appears naturally in connection with a different attempts to generalize the Lie algebras. There is a number of reasons why the generalizations are necessary. First of all this is the demand for the “quantum algebra” which was formed in the papers by Ju. I. Manin, V. G. Drinfeld, S. L. Woronowicz, G. Lusztig, L. D. Faddeev, and many others. A desire to keep the intuition of the quantum mechanics differential calculus that is based on the fundamental concepts of the Lie groups and Lie algebras theory makes the generalizations necessary.

Keywords: Hopf Algebra; Quantum Group; Free Algebra; Primitive Element; Differential Calculus (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0337-6_6

Ordering information: This item can be ordered from
http://www.springer.com/9789401703376

DOI: 10.1007/978-94-017-0337-6_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().