标题： 量子正交之谜 显示英文标题

标题： The quantum orthogonal mystery

摘要： 这是一个（希望）可转换为LaTeX的演讲稿，该演讲是在1994年2月在Karpacz举行的第XXX届理论物理冬季学校发表的。 它讨论了使用非交换微分演算来构造量子群的李代数。 通常，结果的维数与经典李代数不同。 这是通过正交量子群来说明的，并描述了构建正交李代数的各种其他方法。 显示英文摘要

摘要： This is (hopefully) a Latexable version of a talk given at the XXX Winter School in Theoretical Physics at Karpacz in February 1994. It discusses the use of non-commutative differential calculus to construct a Lie algebra of a quantum group. Usually the result has a different dimension from the classical Lie algebra. This is illustrated by menas of the orthogonal quantum group, and various other possible ways of constructing an orthogonal Lie algebra are described.