Проблема Басса о триангулируемости подгрупп групп Кремоны
The point of the article is the idea that an activity, an image and a word are the means to spiritualize a body and to externalize spirit. Each o them is a heterogeneous entity: a kind of metaform where both internal and external forms appear. E.g. an activity being considered as an external form includes an image and a word. The same structure is peculiar to a word and an image. Because of such a structure an activity, an image and a word are as much corporeal as they are spiritual. A play of their external and internal forms is extended to interrelationship of the body, the soul and the spirit. It is argued that such a model of reasoning may be of use for psychotherapeutic practices.
Let k be a field of characteristic zero, let G be a connected reductive algebraic group over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k- rational functions on G, respectively, g. The conjugation action of G on itself induces the adjoint action of G on g. We investigate the question whether or not the field extensions k(G)/k(G)^G and k(g)/k(g)^G are purely transcendental. We show that the answer is the same for k(G)/k(G)^G and k(g)/k(g)^G, and reduce the problem to the case where G is simple. For simple groups we show that the answer is positive if G is split of type A_n or C_n, and negative for groups of other types, except possibly G_2. A key ingredient in the proof of the negative result is a recent formula for the unramified Brauer group of a homogeneous space with connected stabilizers. As a byproduct of our investigation we give an affirmative answer to a question of Grothendieck about the existence of a rational section of the categorical quotient morphism for the conjugating action of G on itself.
The article shows the importance of philosophy Ricker for theoretical sociology. Perspectives of sociology associated with a combination of theories and theories of action events. Action theory developed in sociology and theory of events is not. Ricoeur philosophy - one of the possible intellectual resources in order to change this situation.
The action is considered of a group of totally positive units of a real cubic Galois field on the border of convex hull of its totally positive integers. In case of so called regular fields the fundamental domain of this action has a simple description.
In this paper, I will discuss the existing candidates for action-defining entities and structures (the entities and structures which make some X an action) and propose one more candidate. First, I will examine the standard causal theory which became mainstream in analytical philosophy (although this situation is starting to change). Then I will sketch some arguments against the causal theory of action stemming from the works of earlier analytic philosophers, especially from Wittgenstein’s reflections on the nature of the action. Next, I will try to address the problems of action theory by introducing the concept of will as distinguishing feature of actions. Finally, I will discuss the difficulties concerning the concept of will as I construe it in this paper.