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...
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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 ...
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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 اولRelations 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...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1964
ISSN: 0004-9735
DOI: 10.1017/s1446788700025301