Fiberings of enveloping spaces, II

Universal Enveloping Algebras of Braided Vector Spaces

Various attempts to find a proper generalization of the notion of Lie algebra associated to a vector space V endowed with a non symmetric braiding c appeared in the literature. In this direction, we introduce and investigate a notion of braided Lie algebra (and the associated universal enveloping algebra) which turns out to be effective for the class of braided vector spaces (V, c) whose Nichol...

LIMITS OF WEIGHT SPACES, LUSZTIG'S q-ANALOGS, AND FIBERINGS OF ADJOINT ORBITS

Let G be a connected complex semisimple algebraic group, and T a maximal torus inside a Borel subgroup B , with g, t, and b their Lie algebras. Let V be a representation in the category & for g. The t-decomposition V = E9 JlEt* V Jl of V into a direct sum of finite-dimensional weight spaces is central in the representation theory of g. In this paper, we introduce on weight spaces a new structur...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

On the Factors and Fiberings of Manifolds

On Compact Fiberings of the Plane

In a recent paper [2], Montgomery and Samelson have raised the question whether there exists, for some n, a compact fibering of Euclidean w-space, and have given some reasons for thinking that no such fibering is possible. The purpose of this note is to provide further evidence for this belief by proving that a t least there is no compact fibering of the plane. The theorem I shall prove is in f...