书目名称 | Lie Semigroups and their Applications |
编辑 | Joachim Hilgert,Karl-Hermann Neeb |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Subsemigroups of finite-dimensional Lie groups that aregenerated byone-parameter semigroups are the subject ofthis book. It covers basic Lietheory for such semigroupsand some closely related topics. These include orderedhomogeneous manifolds, where the order is defined by a fieldof cones, invariant cones in Lie algebras and associatedOl‘shanskii semigroups. Applications to representationtheory, symplectic geometry andHardy spaces are also given.The book is written as an efficient guide forthoseinterested in subsemigroups of Lie groups and theirapplicationsin various fields of mathematics (see theUser‘s guide at the end of theIntroduction). Since it isessentially self-contained and leads directly to the core ofthe theory, the first part of the book can also serve asanintroduction to the subject.The reader is merely expected to be familiar with the basictheory of Lie groups and Lie algebras. |
出版日期 | Book 1993 |
关键词 | Holomorphic extension; Semigroup; algebra; invariant cone; lie group |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0084640 |
isbn_softcover | 978-3-540-56954-1 |
isbn_ebook | 978-3-540-69987-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1993 |