Search results for " Lie"

Journeying Through Space and Time Towards the Sources of Artistic Inspiration: Jeanette Winterson’s Art & Lies (1992)

2009

Savstarpējās atzīšanas principa piemērošana un tā pārkāpuma attaisnošana preču brīvas aprites jomā Eiropas Savienībā

2019

Bakalaura darbā tiek aplūkotas problēmas, kas izriet no savstarpējās atzīšanas principa un Līguma par Eiropas Savienības darbību 34. panta nekonsekventā nošķīruma, kā arī tiek analizēta savstarpējās atzīšanas principa kā patstāvīga tiesību institūta pamatotība. Darba mērķis ir noskaidrot mijiedarbību starp savstarpējās atzīšanas principu un Līguma par Eiropas Savienības darbību 34. pantu, kā arī izpētīt savstarpējās atzīšanas principa kā patstāvīga tiesību institūta piemērošanas iespējamību. Lai to sasniegtu, autors darbā pēta savstarpējās atzīšanas principa vēsturisko izcelsmi, principa nepieciešamības pamatojumu preču brīvas aprites jomā un tā saturisko apjomu. Pētījuma rezultātā, autors …

Influenza della natura dei nutrienti azotati sull’attività di due ceppi di lievito nella vinificazione di uve bianche prodotte in Sicilia

2008

Erinnerungen der Rigaer Liedertafel

1889

Autora pilns vārds grāmatā nav uzrādīts; priekšvārda-veltījuma beigās minēts: der Verfasser F.K.

Unitary units and skew elements in group algebras

2003

Let FG be the group algebra of a group G over a field F and let * denote the canonical involution of FG induced by the map g→g −1 ,gG. Let Un(FG)={uFG|uu * =1} be the group of unitary units of FG. In case char F=0, we classify the torsion groups G for which Un(FG) satisfies a group identity not vanishing on 2-elements. Along the way we actually prove that, in characteristic 0, the unitary group Un(FG) does not contain a free group of rank 2 if FG − , the Lie algebra of skew elements of FG, is Lie nilpotent. Motivated by this connection we characterize most groups G for which FG − is Lie nilpotent and char F≠2.

Multiplicative loops of 2-dimensional topological quasifields

2015

We determine the algebraic structure of the multiplicative loops for locally compact $2$-dimensional topological connected quasifields. In particular, our attention turns to multiplicative loops which have either a normal subloop of positive dimension or which contain a $1$-dimensional compact subgroup. In the last section we determine explicitly the quasifields which coordinatize locally compact translation planes of dimension $4$ admitting an at least $7$-dimensional Lie group as collineation group.

A local approach to a class of locally finite groups

2003

This paper is devoted to the study of a class of generalised P-nilpotent groups in the universe cℒ̄ of all radical locally finite groups satisfying min-q for every prime q. Some results of finite groups are extended and a characterisation of the injectors associated with this class is given.

On the Quadratic Type of Some Simple Self-Dual Modules over Fields of Characteristic Two

1997

Let G be a finite group and let K be an algebraically closed field of Ž characteristic 2. Let V be a non-trivial simple self-dual KG-module we . say that V is self-dual if it is isomorphic to its dual V * . It is a theorem of w x Fong 4, Lemma 1 that in this case there is a non-degenerate G-invariant alternating bilinear form, F, say, defined on V = V. We say that V is a KG-module of quadratic type if F is the polarization of a non-degenerate w x G-invariant quadratic form defined on V. In a previous paper 6 , the present authors described some methods to decide if such a module V is of w x quadratic type. One of the main results of 6 is the following. Suppose that Ž . G is a group with a s…

Finite groups with subgroups supersoluble or subnormal

2009

Abstract The aim of this paper is to study the structure of finite groups whose non-subnormal subgroups lie in some subclasses of the class of finite supersoluble groups.

Semisimple Lie Algebras

1989

Let F be the field of real or complex numbers. A Lie algebra is a vector space g over F with a Lie product (or commutator) [·,·]: g × g → g such that $$x \mapsto \left[ {x,y} \right]\;is\;linear\;for\;any\;y \in g,$$ (1) $$\left[ {x,y} \right] =- \left[ {y,x} \right],$$ (2) $$\left[ {x,\left[ {y,z} \right]} \right] + \left[ {y,\left[ {z,x} \right]} \right] + \left[ {z,\left[ {x,y} \right]} \right] = 0.$$ (3) The last condition is called the Jacobi identity. From (1) and (2) it follows that also y ↦ [x,y] is linear for any x ∈ g. In this chapter we shall consider only fini te-dimensional Lie algebras. In any vector space g one can always define a trivial Lie product [x,y] = 0. A Lie algebra …