Modern psychological theories of spatial cognition postulate the existence of a geometric module for reorientation. This concept is derived from experimental data showing that in rectangular arenas with distinct landmarks in the corners, disoriented rats often make diagonal errors, suggesting their preference for the geometric (arena shape) over the nongeometric (landmarks) cues. Moreover, sens...

We use elements in the quantum hyperalgebra to define a quantum version of the Désarménien matrix. We prove that our matrix is upper triangular with ones on the diagonal and that, as in the classical case, it gives a quantum straightening algorithm for quantum bideterminants. We use our matrix to give a new proof of the standard basis theorem for the q-Weyl module. As well, we show that the sta...

We extend our work in [1] to the case of Hopf comodule coalgebras. We introduce the cocylindrical module C♮H, where H is a Hopf algebra with bijective antipode and C is a Hopf comodule coalgebra over H. We show that there exists an isomorphism between the cocyclic module of the crossed coproduct coalgebra C>◭H and ∆(C♮H), the cocyclic module related to the diagonal of C♮H. We approximate HC(C >...

The q; t-Macdonald polynomials are conjectured by Garsia and Haiman to have a representation theoretic interpretation in terms of the Sn-module M spanned by the derivatives of a certain polynomial (x1; x2; : : : ; xn; y1; y2; : : : ; yn). The diagonal action of a permutation 2 Sn on a polynomial P = P (x1; x2; : : : ; xn; y1; y2; : : : ; yn) is de ned by setting P = P (x 1 ; x 2 ; : : : ; x n; ...

Modern psychological theories of spatial cognition postulate the existence of a ‘geometric module’ for reorientation. This concept is derived from experimental data showing that in rectangular arenas with distinct landmarks in the corners, disoriented rats often make diagonal errors, suggesting their preference for the geometric (arena shape) over the non-geometric (landmarks) cues. Moreover, e...

We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W = G(m, p, n), and give supporting evidence that this space seems to always be isomorphic, as a graded W -module, to the undeformed version. Résumé. Nous introduisons une déformation de l’espace des polynômes harmoniques (multi-diagonaux) pour tout groupe de réfle...

Significant progress in the development and commercialization of electrically conductive adhesives has been made. This makes shingling a very attractive approach for solar cell interconnection. In this study, we investigate shading tolerance two types modules based on shingle interconnection: first, already commercialized string approach, second, matrix technology where cells are intrinsically ...

The design and main characteristics of 14-channel dispersion interferometer for plasma profile measurement and control in TEXTOR tokamak are presented. The diagnostic is engineered on the basis of modular concept, the 10.6 microm CO(2) laser source and all optical and mechanical elements of each module are arranged in a compact housing. A set of mirrors and retroreflectors inside the TEXTOR vac...