再论对极的双射性
The Bijectivity of the Antipode Revisited
摘要：
我们提供了一个很短的方法来几个基本结果的霍普夫代数与非零积分。除了简短之外，我们的方法是第一个不用霍普夫代数的积分唯一性证明对极的双射性的方法，并以类似于紧群上Haar测度的经典理论的方式得到积分唯一性作为推论.
英文摘要：
We provide a very short approach to several fundamental results for Hopf algebras with nonzero integrals. Besides being short, our approach is the first to prove the bijectivity of the antipode without using the uniqueness of the integrals of Hopf algebras and to obtain the uniqueness of integrals as a corollary in a way similar to the classical theory of the Haar measure on compact groups.
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。
