A current Lie algebra is contructed from a tensor product of a Lie algebra and a commutative associative algebra of dimension greater than 2. In this work we are interested in deformations of such algebras and in the problem of rigidity. In particular we prove that a current Lie algebra is rigid if it is isomorphic to a direct product g× g × ...× g where g is a rigid Lie algebra. 1 Current Lie ...

In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.

dy. T hree-dim ensional m odel m atching f r omanu nconstrainedviewpoint. IEEE I nternat iona l Co nfe r e nce o n R o b o tic s a n dA u to m a tio n , 1 :208{220, 1 987. [20] A a ronW allack, JohnCanny, a ndDineshM anocha. O b j e ct r ecognitionandlocalizationusingoptical s ensors. (preprint, U n iversityof C alifornia, B e rkeley), 1992. [21] J eanPo nce, A nthonyHoogs, a ndD avidJ. K r ieg...

We describe an approach to program construction and maintenance in the declarative language GG odel. This approach combines techniques with the veriication of partial speciications. The programmer is provided with automated assistance in the enhancement of skeletons of code while being left free to complete the ne details by hand. The completed code is then veriied with respect to partial speci...

in this paper, we investigate the relation between l-projections and conditional expectations on subalgebras of the fourier-stieltjes algebra b(g), and we will show that compactness of g plays an important role in this relation.

In this paper,  pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.

T h e E U R O T R A T R A N S L A T IO N S Y S T E M consists basica lly o f a C -p rogram m e which operates a front-end program m e package cind a core P R O L O G program ­ m e, the Engine. T h e E ngine com bines w ith a series o f generators and translators w ritten by the linguist in a user language and com p iled in to P R O L O G cod e . T h e generators and the translators conta in lin...

Suppose $G$ is a split connected‎ ‎reductive orthogonal or symplectic group over an infinite field‎ ‎$F,$ $P=MN$ is a maximal parabolic subgroup of $G,$ $frak{n}$ is‎ ‎the Lie algebra of the unipotent radical $N.$ Under the adjoint‎ ‎action of its stabilizer in $M,$ every maximal prehomogeneous‎ ‎subspaces of $frak{n}$ is determined‎.

In this paper, an accurate and com pact language m odel is proposed to cope robustly with data sparseness and task dependencies. This language m odel adopts new categories which are generated by continuously interpolating POS word-class categories and word categories using M AP estimation. Thenew categories can reflect word statistics efficiently without loosing accuracy and task-independent ge...