经典李代数与Drinfeld双
Classical Lie algebras and Drinfeld doubles
摘要：
讨论了单李代数的Cartan级数An，Bn，Cn，Dn的Drinfeld二重结构.这个结构是由两个不相交的可解子代数匹配的配对。对于两个幂零的正负根子代数的配对是自然的，并在Cartan子代数的定义的帮助下，一个中心扩展的代数。从二重空间的相容性条件中找到了一个新的完全确定基，并给出了一个不同的量子化观点。其他相关的德林费尔德双打C也被认为是。
英文摘要：
The Drinfeld double structure underlying the Cartan series An, Bn, Cn, Dn of simple Lie algebras is discussed. This structure is determined by two disjoint solvable subalgebras matched by a pairing. For the two nilpotent positive and negative root subalgebras the pairing is natural and in the Cartan subalgebra is defined with the help of a central extension of the algebra. A new completely determined basis is found from the compatibility conditions in the double and a different perspective for quantization is presented. Other related Drinfeld doubles on C are also considered.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
