We give explicit actions of Drinfeld generators on Gelfand–Tsetlin bases super Yangian modules associated with skew Young diagrams. In particular, we another proof that these representations are irreducible. study irreducible tame $$\mathrm {Y}(\mathfrak {gl}_{1|1})$$ -modules and show a finite-dimensional -module is if only it thin. also the analogous statements for quantum affine superalgebra...

For positive integers n and l, we study the cyclic U(gl n )-module generated by the l-th power of the α-determinant det(X). This cyclic module is isomorphic to the n-th tensor space (Sym(C)) of the symmetric l-th tensor space of C for all but finite exceptional values of α. If α is exceptional, then the cyclic module is equivalent to a proper submodule of (Sym(C)), i.e. the multiplicities of se...

LetG be a quasisimple, connected, and simply connected algebraic group defined and split over the field k of characteristic p > 0. In this paper, we are interested in small modules for G; for us, small modules are those with dimension ≤ p. By results of Jantzen [Jan96] one knows that anyGmodule V with dimV ≤ p is semisimple. (We always understand aG-module V to be given by a morphism of algebra...

The goal of this article is to give an explicit classification the possible $p$-adic Galois representations that are attached elliptic curves $E$ with CM defined over $\mathbb{Q}(j(E))$. More precisely, let $K$ be imaginary quadratic field, and $\mathcal{O}_{K,f}$ order in conductor $f\geq 1$. Let curve by $\mathcal{O}_{K,f}$, such a model $p\geq 2$ prime, $G_{\mathbb{Q}(j(E))}$ absolute group ...

background: gastric lavage (gl) is one of the most commonly used decontamination method for cholinergic insecticide ingestion in developing countries despite lack of supporting evidence. this study was designed to evaluate the outcome of patients with cholinergic insecticide poisoning treated with gl in regards to timing and frequency of the procedure. methods: in this prospective observational...

This paper proposes elaboration of the Generative Lexicon (GL) in Pustejovsky (1995) and the Extended Generative Lexicon theory (Lenci et al., 2000). My proposal is based on the Japanese genitive postposition no1. The Japanese NP1-no NP2 “NP1-GEN NP2” construction expresses a wider range of relations between two entities than the English possessive NP1’s NP2, such that neither selective binding...

There is another type of homology theory for Lie algebras : the Leibniz homology HL,(I~), defined as the homology of a complex (T g, d) where T ~ is the tensor module over g and the differential is a lifting of the preceding differential. In fact this theory is defined for a larger class of algebras : the Leibniz algebras (see 1 below). The aim of this paper is to compute HL.(I~ @gl) in terms o...

A main purpose of this paper is to explain how the theory of higher spin fields in flat D = 4 space and in AdS4 emerges as a result of the quantization of a superparticle propagating in so called tensorial superspaces which have the property of a ‘generalized conformal’ or simply General Linear (GL) flatness.

We present algorithms giving upper and lower bounds for the number of independent primitive rational Vassiliev invariants of degree m modulo those of degree m − 1. The values have been calculated for the formerly unknown degrees m = 10, 11, 12. Upper and lower bounds coincide, which reveals that all Vassiliev invariants of degree ≤ 12 are orientation insensitive and are coming from representati...