New directions in Hopf algebras
New directions in Hopf algebras
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发表时间：
2002
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通讯作者：
S. Montgomery;H. Schneider
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作者：
S. Montgomery;H. Schneider
这及时收集的临时文件突出进展和新的方向在霍普夫代数。产生于1999年10月的MSRI研讨会上的霍普夫代数，一些论文认为霍普夫版本的经典主题，如布劳尔群，而其他人更接近最近的工作在量子群。特别是，有文章最近的进展，在分类有限维霍普夫代数，无论是在半单的情况下，并在指出的情况下。该卷还包括Mitsuhiro Takeuchi的文章“量子矩阵短期课程”的更新版本，尽管相对缺乏可用性，但现在是标准参考。
This timely collection of expository papers highlights progress and new directions in Hopf algebras. Arising from the MSRI workshop on Hopf Algebras in October 1999, some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to recent work in quantum groups. In particular, there are articles on recent progress in classifying finite-dimensional Hopf algebras, both in the semisimple case and in the pointed case. The volume also includes an updated version of Mitsuhiro Takeuchi's article "A short course on quantum matrices", now a standard reference in spite of its relative lack of availability.