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http://dx.doi.org/10.4134/CKMS.2005.20.4.649

SKEW ENVELOPING ALGEBRAS AND POISSON ENVELOPING ALGEBRAS  

CHO, EUN-HEE (Department of Mathematics Chungnam National University)
OH, SEI-QWON (Department of Mathematics Chungnam National University)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.4, 2005 , pp. 649-655 More about this Journal
Abstract
The universal mapping property and the Gelfand- Kirillov dimension of a skew enveloping algebra are studied and it is proved that every Poisson enveloping algebra is a homomorphic image of a skew enveloping algebra.
Keywords
skew enveloping algebra; Poisson enveloping algebra;
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  • Reference
1 V. Chari and A. Pressley, A guide to quantum groups, Cambridge University Press, Providence, 1994
2 C. Kassel, Quantum groups, Grad. Texts in Math., 155, Springer-Verlag, 1995
3 L. I. Korogodski and Y. S. Soibelman, Algebras of functions on quantum groups, Math. Surveys Monogr., 56, American Mathematical Society, Providence, 1998
4 L. A. Lambe and D. E. Radford, Introduction to the quantum Yang-Baxter equation and quantum groups: An algebraic approach mathematics and its applications, Kluwer Academic Publishers, Dordrecht/Boston/London, 423 (1997)
5 J. C. McConnell and J. C. Robson, Noncommutative noetherian rings, Pure Appl. Math., A Wiley-interscience series of texts, monographs & tracts, Wiley Interscience, New York, 1987
6 S.-Q. Oh, Poisson enveloping algebras, Comm. Algebra 27 (1999), 2181-2186   DOI   ScienceOn
7 M. E. Sweedler, Hopf algebras, W. A. Benjamin, Inc., New York, 1969
8 S.-Q. Oh, C.-G. Park, and Y.-Y. Shin, A Poincare-Birkhoff- Witt theorem jor Poisson enveloping algebras, Comm. Algebra 30 (2002), 4867-4887   DOI   ScienceOn