Lie isomorphisms of factors
نویسندگان
چکیده
منابع مشابه
Continuity of Lie Isomorphisms of Banach Algebras
We prove that if A and B are semisimple Banach algebras, then the separating subspace of every Lie isomorphism from A onto B is contained in the centre of B. Over the years, there has been considerable effort made and success in studying the structure of Lie isomorphisms of rings and Banach algebras [2–5, 7–15]. We are interested in investigating the continuity of Lie isomorphisms of Banach alg...
متن کاملIsomorphisms and Automorphisms of Universal Heffalump Lie Algebras
The classification of a family of infinite dimensional Lie algebras is carried out, and a determination of their automorphism groups, in certain cases is supplied. Introduction. The theory of finite dimensional simple Lie algebras over algebraically closed fields of characteristic zero achieves a classification of such algebras and a description of their automorphism groups (see [4]). To these ...
متن کاملRelations among Lie-series transformations and isomorphisms between free Lie algebras
We study the subgroup generated by the exponentials of formal Lie series. We show three diierent way to represent elements of this subgroup. These elements induce Lie series transformations. Relations among these family of transformations furnish algorithms of composition. Starting from the Lazard elimination theorem and the Witt's formula, we show isomorphisms between some submodules of free L...
متن کاملTransfer Factors for Lie
Let G be a quasi-split connected reductive group over a local eld of characteristic 0, and x a regular nilpotent element in the Lie algebra g of G. A theorem of Kostant then provides a canonical conjugacy class within each stable conjugacy class of regular semisimple elements in g. Normalized transfer factors take the value 1 on these canonical conjugacy classes. 1. Introduction Let k 0 be a lo...
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1970
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1970-0273423-7