Quantum Lie Algebras and Related Problems
作者： V. K. Kharchenko
DOI: 10.1007/978-94-017-0337-6_6
关键词: Fundamental representation 、 Adjoint representation of a Lie algebra 、 Algebra 、 Affine Lie algebra 、 Graded Lie algebra 、 Pure mathematics 、 Killing form 、 Representation of a Lie group 、 Lie conformal algebra 、 Non-associative algebra 、 Mathematics
摘要: The notion of quantum Lie operation appears naturally in connection with a different attempts to generalize the algebras. There is number reasons why generalizations are necessary. First all this demand for “quantum algebra” which was formed papers by Ju. I. Manin, V. G. Drinfeld, S. L. Woronowicz, Lusztig, D. Faddeev, and many others. A desire keep intuition mechanics differential calculus that based on fundamental concepts groups algebras theory makes
springer.com
sci-hub.st 参考文章(78)
V. G. Drinfeld, Hopf algebra and Yang-Baxter equation Soviet Math. Dokl.. ,vol. 32, pp. 254- 258 ,(1985)
Susan Montgomery, Hopf algebras and their actions on rings ,(1993)
IP Shestakov, AI Shirshov, AM Slin'ko, KA Zhevlakov, Rings that are nearly associative Academic Press. ,(1982)
George Lusztig, Introduction to Quantum Groups ,(1993)
Bodo Pareigis, On Lie algebras in braided categories Banach Center Publications. ,vol. 40, pp. 139- 158 ,(1997) , 10.4064/-40-1-139-158
Nathan Jacobson, Structure of rings ,(1956)
Konrad Schmüdgen, Anatoli Klimyk, Quantum Groups and Their Representations ,(2011)
V. G. DRINFEL'D, Hopf algebras and the quantum Yang-Baxter equation Proceedings of the USSR Academy of Sciences. ,vol. 32, pp. 254- 258 ,(1985) , 10.1142/9789812798336_0013
Volodymyr Lyubashenko, Anthony Sudbery, Generalized Lie algebras of type An Journal of Mathematical Physics. ,vol. 39, pp. 3487- 3504 ,(1998) , 10.1063/1.532440
Jens Carsten Jantzen, Lectures on quantum groups ,(1995)