| 书目名称 | Lie Groups Beyond an Introduction | | 编辑 | Anthony W. Knapp | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | Fifty years ago Claude Chevalley revolutionized Lie theory by pub lishing his classic Theory of Lie Groups I. Before his book Lie theory was a mixture of local and global results. As Chevalley put it, "This limitation was probably necessary as long as general topology was not yet sufficiently well elaborated to provide a solid base for a theory in the large. These days are now passed:‘ Indeed, they are passed because Chevalley‘s book changed matters. Chevalley made global Lie groups into the primary objects of study. In his third and fourth chapters he introduced the global notion of ana lytic subgroup, so that Lie subalgebras corresponded exactly to analytic subgroups. This correspondence is now taken as absolutely standard, and any introduction to general Lie groups has to have it at its core. Nowadays "local Lie groups" are a thing of the past; they arise only at one point in the development, and only until Chevalley‘s results have been stated and have eliminated the need for the local theory. But where does the theory go from this point? Fifty years after Cheval ley‘s book, there are clear topics: E. Cartan‘s completion ofW. Killing‘s work on classifying complex semisimple L | | 出版日期 | Book 19961st edition | | 关键词 | Algebra/Rings; Group representation; Group theory; Groups & Generalizations; Lie Groups; Math Physics; Mat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-2453-0 | | isbn_ebook | 978-1-4757-2453-0Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkhäuser Boston 1996 |
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发表于 2025-3-21 18:24:48
