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Lie Groups, Convex Cones, and Semigroups
Joachim Hilgert
Karl Heinrich Hofmann
Jimmie D. Lawson
出版
Clarendon Press
, 1989
主題
Law / Gender & the Law
Mathematics / Algebra / General
Mathematics / Algebra / Linear
Mathematics / Group Theory
Science / Life Sciences / Botany
ISBN
0198535694
9780198535690
URL
http://books.google.com.hk/books?id=TbyxAAAAIAAJ&hl=&source=gbs_api
註釋
This is the first and only reference to provide a comprehensive treatment of the Lie theory of subsemigroups of Lie groups. The book is uniquely accessible and requires little specialized knowledge. It includes information on the infinitesimal theory of Lie subsemigroups, and a characterization of those cones in a Lie algebra which are invariant under the action of the group of inner automporphisms. It provides full treatment of the local Lie theory for semigroups, and finally, gives the reader a useful account of the global theory for the existence of subsemigroups with a given set of infinitesimal generators.