We prove an analogue of the Sylvester theorem for the generator matrices of the quantum affine algebra Uq(ĝln). We then use it to give an explicit realization of the skew representations of the quantum affine algebra. This allows one to identify them in a simple way by calculating their highest weight, Drinfeld polynomials and the Gelfand–Tsetlin character (or q-character). We also apply the qu...

the triple factorization of a group $g$ has been studied recently showing that $g=aba$ for some proper subgroups $a$ and $b$ of $g$, the definition of rank-two geometry and rank-two coset geometry which is closely related to the triple factorization was defined and calculated for abelian groups. in this paper we study two infinite classes of non-abelian finite groups $d_{2n}$ and $psl(2,2^{n})$...

Motivated by Hochman’s notion of subdynamics of a Z subshift [8], we define and examine the projective subdynamics of Z shifts of finite type (SFTs) where we restrict not only the action but also the phase space. We show that any Z sofic shift of positive entropy is the projective subdynamics of a Z2 (Z) SFT, and that there is a simple condition characterizing the class of zero-entropy Z sofic ...

In this article, we construct the canonical semipositive current or the canonical measure (= the potential of the canonical semipositive current) on a smooth projective variety of nonnegative Kodaira dimension in terms of a dynamical system of Bergman kernels. This current is considered to be a generalization of a Kähler-Einstein metric and coincides the one considered independently by J. Song ...

We investigate a projective limit space associated with an F2n unimodal mapping consisting of two hyperbolae. We show that in case n = 0 this limit is homeomorphic to an interval, in case n = 1 it is homeomorphic to sum of the interval {0}× [−1, 1] and the graph of the function sin 1 x , x ∈ [0, 1], and in case n = 3 it is a more complicated subspace of R3 endowed with a specific geometrical be...

In this paper, we investigate the stability of set differential equations in Fréchet space F . Some comparison principles and criteria are established for with fact that every id="M2"> is a projective limit Banach spaces.

BACKGROUND Studies on popular names of birds help to understand the relationship between human beings and birds and it also contributes to the field of ornithology. METHODS This study aims to register the ethnotaxonomy of birds in the village of Pedra Branca, Santa Teresinha municipality, Bahia State, Brazil, by cataloguing and identifying their popular names, besides understanding the ethnoc...

In 3 studies, we document various properties of perceiver effects--or how an individual generally tends to describe other people in a population. First, we document that perceiver effects have consistent relationships with dispositional characteristics of the perceiver, ranging from self-reported personality traits and academic performance to well-being and measures of personality disorders, to...

The first point is to describe vector spaces with topologies arising from (separating) families of semi-norms. These all turn out to be locally convex, for straightforward reasons. The second point is to check that any locally convex topological vectorspace's topology can be given by a collection of seminorms. These seminorms are made in a natural way from a local basis consisting of balanced c...

Attaining the ultimate (Holevo) limit to the classical capacity of a quantum channel requires the receiver to make joint measurements over long code-word blocks. For a pure-state channel, we show that the Holevo limit can be attained by a receiver that uses a multisymbol unitary transformation on the quantum code word followed by separable projective measurements. We show a concatenated coding ...