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A Tannakian context for Galois theory
(Elsevier, 2013-02)
Strong similarities have been long observed between the Galois (Categories Galoisiennes) and the Tannaka (Categories Tannakiennes) theories of representation of groups. In this paper we construct an explicit (neutral) ...
Differential galois groups and representation of quivers for seismic models with constant hessian of square of slowness
(Pushpa Publishing House, 2017)
The trajectory of energy is modeled by the solution of the Eikonal
equation, which can be solved by solving a Hamiltonian system. This
system is amenable of treatment from the point of view of the theory
of differential ...
On the embedding problem for 2+s4 representations
(American Mathematical Society, 2007-12)
Let 2+S4 denote the double cover of S4 corresponding to the element in H2(S4, Z/2Z) where transpositions lift to elements of order 2 and the product of two disjoint transpositions to elements of order 4. Given an elliptic ...
Non-paritious Hilbert modular forms
(Springer, 2019-06-01)
The arithmetic of Hilbert modular forms has been extensively studied under the assumption that the forms concerned are “paritious”—all the components of the weight are congruent modulo 2. In contrast, non-paritious Hilbert ...
Maximal ideals and representations of twisted forms of algebras
(Mathematical Sciences Publishers, 2013-07)
Abstract Given a central simple algebra g g and a Galois extension of base rings S ∕ R S∕R, we show that the maximal ideals of twisted S ∕ R S∕R-forms of the algebra of currents g ( R ) g(R) are in natural bijection with ...
El último Teorema de Fermat
(2021-03)
El objetivo del presente trabajo es estudiar la demostración del Último Teorema de Fermat. En la primera parte se hablará acerca de las curvas elípticas y sus propiedades. Se mostrará cómo estas se relacionan a hipotéticas ...
Projective representations in algebras and cohomology
(2011)
We give some conditions under which no two non-conjugate projective representations, in an algebra, of a given group can become conjugate over a separable extension of the base field. In particular, we show this is always ...
The representation dimension of a Selfinjective Algebra of wild tilted type
(Academic Press Inc Elsevier Science, 2017-05)
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected ...