Lie, Trygve (Norwegian Foreign Minister In Exile),
Dr Lie agrees amended version of Lofoten documents should be circulated in Norway and British Foreign Office should send ... Government before publishing White Paper. Part 2. Norway. Lie, Trygve (Norwegian Foreign Minister in exile). 19/05/ ...
1941 - Gale Group | ArchivesUnbound Western Europe
... When one or two groups are present, they lie on the radius. When three groups are present, all three may lie on the radius, or two may lie on the radius and the third on the ... The spindle-shaped sense cells of most beetles lie in the lumens of the appendages outside the ... in the legs of Orthosoma the sense cells lie inside the pore cavities. A small chitinous cone ... sense fibers enter the bottoms of pits which lie in the chitin one third (at time of ... it is elevated so that the pore apertures lie in the center of domes above the general ...
Tópico(s): Insect-Plant Interactions and Control
1915 - Marine Biological Laboratory (MBL) | Biological Bulletin
Extract from speech given by Jonas Lie, Chief of Police in Stavanger on political criminals and outrages by agitators. Part 3. Norway. Lie, Jonas. 01/06/1942. FO 371/ ...
1942 - Gale Group | ArchivesUnbound Western Europe
... a subalgebra of some IL. These algebras, called Lie algebras, have been extensively studied, and in this ... subspace of an associative algebra closed under triple Lie products. Jacobson has characterized subspaces of Lie algebras closed under triple Lie products and called them Lie triple systems. Further, if in any Jordan algebra ... abc] = { { cb } a } { { ca} b }, 2I becomes a Lie triple system, the associator Lie triple system of 2I. Also, the mappings xRa = { xa } in a Jordan algebra constitute a Lie triple system which is a homomorph of the ...
Tópico(s): Synthesis and properties of polymers
1952 - American Mathematical Society | Transactions of the American Mathematical Society
Springer Link
Lie, Trygve (Norwegian Foreign Minister In Exile),
Correspondence reports on meeting with Mr. Lie with regard to Home Front messages from Norway in connection with the question of Swedish military assistance. Part 6B. Norway. Lie, Trygve ( ...
1945 - Gale Group | ArchivesUnbound Western Europe
... conjectured that every locally euclidean group is a Lie group, many mathematicians have dealt with this problem, ... every locally compact group with small is a Lie group. In 1948 Kuranishi [10] obtained a very ... if a factor group over a normal abelian Lie group is a Lie group, then the whole group is a Lie group with some reasonable conditions which do not ... that if a factor group over a normal Lie group is a Lie group, then the whole group is a Lie group. A simplified proof was given by A. ... 6] had built up the theory of generalized Lie groups (L group in the sense of Iwasawa), ...
Tópico(s): Advanced Operator Algebra Research
1953 - Princeton University | Annals of Mathematics
Trygve Lie (Norwegian Foreign Minister In Exile),
Dr Lie's proposals for a peace settlement in which Norway would ask for the Faeroes in return for defensive bases in Norway. Part 2. Denmark. Lie, Trygve (Norwegian Foreign Minister in exile). 03/04/ ...
1941 - Gale Group | ArchivesUnbound Western Europe
Harish-chandra Harish-Chandra,
... a new proof of the theorem that every Lie algebra over a field K of characteristic zero, ... of the maximal nilpotent ideal of the given Lie algebra is mapped on a nilpotent matrix. I ... many interesting and valuable discussions. All algebras (whether Lie algebras or associative algebras) and vector spaces appearing ... understood over the basic field K. A linear Lie algebra 2 is a Lie algebra whose elements are endomorphisms of some given ... papers (4). In particular, if 2 is a Lie algebra and X e 2 we denote by ...
Tópico(s): Nonlinear Waves and Solitons
1949 - Princeton University | Annals of Mathematics
Lie, Trygve (Norwegian Foreign Minister In Exile),
Record of conversation with Mr. Lie with regard to the sending of a military force to Northern Norway. Part 6B. Norway. Lie, Trygve (Norwegian Foreign Minister in ...
1945 - Gale Group | ArchivesUnbound Western Europe
There are some simple facts which distinguish Lie-algebras over fields of prime characteristic from Lie-algebras over fields of characteristic zero. These are (1) The degrees of the absolutely irreducible representations of a Lie-algebra of prime characteristic are bounded whereas, according ... the absolutely irreducible representations of a semi-simple Lie-algebra over a field of characteristic zero can be arbitrarily high. (2) For each Lie-algebra of prime characteristic there are indecomposable representations ...
Tópico(s): Advanced Algebra and Geometry
1954 - Cambridge University Press | Proceedings of the Glasgow Mathematical Association
Gerhardsen, Einar, Lie, Trygve (Norwegian Foreign Minister In Exile),
... Labour Party, to form a new Government; M. Lie reinstated as Foreign Minister. Part 6B. Norway. Gerhardsen, Einar; Lie, Trygve (Norwegian Foreign Minister in exile). 20/06/ ...
1945 - Gale Group | ArchivesUnbound Western Europe
... topological structure of homogeneous spaces of non-compact Lie groups, A. Malcev [7]2 obtained the following results. Any homogeneous space of a connected nilpotent Lie group is the topological product of an euclidean ... a homogeneous space of a certain connected nilpotent Lie group. If the homogeneous space is compact, it ... T where 5 is a simply connected nilpotent Lie group and Z a discrete subgroup. Recently, Y. ... with the cohomology groups H* (g) of the Lie algebra g of 5 for dimensions r = 1 ... Betti numbers of compact homogeneous spaces of nilpotent Lie groups, which are similar to known results concerning ...
Tópico(s): Ophthalmology and Eye Disorders
1954 - Princeton University | Annals of Mathematics
Lie, Trygve (Norwegian Foreign Minister In Exile); Eden, Sir Anthony,
M. Lie's request for enquiry regarding the 10 Norwegian ships at Gothenburg. Part 3. Norway. Lie, Trygve (Norwegian Foreign Minister in exile); Eden, Sir ...
1942 - Gale Group | ArchivesUnbound Western Europe
... of algebra and topology, and an exposition of Lie groups from the modern point of view is ... under review, which could well have been called “Lie Groups in the Large”. To make such a ... the introduction of the important concept of a Lie algebra associated with an analytic group. A Lie group is then denned as a locally connected ... from this it follows that the concept of Lie algebra can be used freely when dealing with Lie groups. Chapter 5 contains an account of Cartan' ... forms and its application to the theory of Lie groups. The final chapter is concerned with compact ...
Tópico(s): Homotopy and Cohomology in Algebraic Topology
1947 - Nature Portfolio | Nature
Lie, Trygve (Norwegian Foreign Minister In Exile),
M. Lie sounds out both Netherlands and Belgian Ministers of Foreign Affairs with encouraging results. Part 3. Norway. Lie, Trygve (Norwegian Foreign Minister in exile). 20/04/ ...
1942 - Gale Group | ArchivesUnbound Western Europe
... É.Cartan sur la structure des groupes de Lie linéaires irréductibles [7], [8], [9].Lorsqu'ils sont ... ce qui se passe pour les algèbres de Lie des groupes considérés, dans les opérations précédentes (toutes les algèbres de Lie sont seulement envisagées dans ce travail en tant ... donne toutes les formes possibles des algèbres de Lie 2 : d'abord dans le cas où o- ... de cette thèse. CHAPITRE I. LES GROUPES DE LIE LINÉAIRES IRRÉDUCTIBLES.Ce chapitre comprend essentiellement deux sortes ... résultats d'Élie Cartan sur les groupes de Lie connexes linéaires irréductibles^ qui sont contenus dans [7] ...
Tópico(s): Geometric and Algebraic Topology
1955 - Société Mathématique de France | Bulletin de la Société mathématique de France
Lie, Trygve (Norwegian Foreign Minister In Exile), Nygaardsvold, Johann, Berg, Paal,
... Chief Justice Berg as new Prime Minister; M. Lie regrets decision to summon the old Storting. Part 6B. Norway. Lie, Trygve (Norwegian Foreign Minister in exile); Nygaardsvold, Johann; ...
1945 - Gale Group | ArchivesUnbound Western Europe
Introduction.The notion of continuous group, later called Lie group, introduced by S. Lie in the nineteenth century, has classically a local character.Although global Lie groups were also sometimes considered, it is only ... concept was clearly formulated.We recall that a Lie group in the large is first a manifold, ... in the first paper which systematically considers global Lie groups, H. Weyl's famous paper on linear ... that the fundamental group of a compact semisimple Lie group is finite is topological in nature.The ...
Tópico(s): Homotopy and Cohomology in Algebraic Topology
1955 - American Mathematical Society | Bulletin of the American Mathematical Society
Reconstruction Speech by Chief of Police, Jonas Lie, entitled 'Police and Security'. Part 3. Norway. Lie, Jonas. 29/05/1942. FO 371/32823-0018. English. Book.
1942 - Gale Group | ArchivesUnbound Western Europe
In a Lie triple system st 1 > (L.t.s.) over a base field (P,2' let D be a vector ... n(st)=D/D' has the structure of Lie algebra of linear mappings of st (inner derivations ... can be 1-to-1 imbedded into a Lie algebra 2 in such a way that the ... n(st).2 is called a standard enveloping Lie algebra of st.E. Cartan proved that Lie algebra is semi-simple if and only if ... prep8rties.In § 2, we shall define the general Lie triple system which has the geometrical meaning, and prove that the general Lie triple system can be imbedded into a Lie ...
Tópico(s): Mathematics and Applications
1958 - Hiroshima University - Department of Mathematics | Hiroshima Mathematical Journal