Let $$k_0$$ be a field of characteristic $$p>0$$ and $$k=k_0(t)$$ , where t is transcendental over . We give an example smooth connected unipotent k-group G such that G(F)/R non-commutative for some finite separable extension F containing k.

— Holonomic and semi-holonomic geometries modelled on a homogeneous space G/P are introduced as reductions of the holonomic or semi-holonomic frame bundles respectively satisfying a straightforward generalization of the partial differential equation characterizing torsion–free linear connections. Under a suitable regularity assumption on the model space G/P we establish an equivalence of catego...

Benkart, Sottile, and Stroomer have completely characterized by Knuth and dual Knuth equivalence a bijective proof of the Littlewood–Richardson coefficient conjugation symmetry, i.e. cμ,ν = c t μt,νt . Tableau–switching provides an algorithm to produce such a bijective proof. Fulton has shown that the White and the Hanlon–Sundaram maps are versions of that bijection. In this paper one exhibits ...

We are interested in the discretization of parabolic equations, either linear or semilinear, by an implicit Euler scheme with respect to the time variable and finite elements with respect to the space variables. The main result of this paper consists of building error indicators with respect to both time and space approximations and proving their equivalence with the error, in order to work wit...

Dans un article récent [1], Abderezak Ould Houcine montre qu’un groupe superstable résiduellement C pour une pseudo-variété C admet une série normale définissable G = G0⊲G1⊲· · ·⊲Gn telle que Gi/Gi+1 ∈ C pour i < n, et Gn est résoluble ; si G est ω-stable, on peut choisir Gn nilpotent. Nous étendons son résultat aux groupes supersimples, et montrons en même temps qu’on peut toujours prendre Gn ...

RÉSUMÉ Dans cet article, nous proposons d’analyser plusieurs options de traduction quelques termes à équivalence partielle sur la base d’un corpus réunissant les traductions textes juridiques élaborées par des étudiants portugais en formation initiale et continue, 2012 2021, mais aussi fiches terminologiques rédigées ces mêmes pour le glossaire classe. L’objectif cette analyse est mettre éviden...

This paper uses the theory of dual equivalence graphs to give explicit Schur expansions to several families of symmetric functions. We begin by giving a combinatorial definition of the modified Macdonald polynomials and modified Hall-Littlewood polynomials indexed by any diagram δ ⊂ Z × Z, written as H̃δ(X; q, t) and P̃δ(X; t), respectively. We then give an explicit Schur expansion of P̃δ(X; t) as...