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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 ...
On the change of root numbers under twisting and applications
(American Mathematical Society, 2013-10)
The purpose of this article is to show how the root number of a modular form changes by twisting in terms of the local Weil-Deligne representation at each prime ideal. As an application, we show how one can for each odd ...
Rieffel Deformation and Twisted Crossed Products
(Oxford University Press, 2014)
To a continuous action of a vector group on a C∗-algebra, twisted by the imaginary
exponential of a symplectic form, one associates a Rieffel deformed algebra as well as
a twisted crossed product. We show that the second ...
Efeitos de campos externos na reorientação molecular de cristais líquidos nemáticos twist-bendEffects of external fields on the molecular reorientation of twist-bend nematic liquid crystals
(Universidade Estadual de MaringáBrasilPrograma de Pós-Graduação em FísicaUEMMaringá, PRCentro de Ciências Exatas, 2018)
A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel
(2019)
We find an explicit integral kernel for the twisted Koecher-Maass series of any degree two Siegel cusp form F, where the twist is realized by an arbitrary Maass waveform whose eigenvalue is in the continuum spectrum. We ...
Trace forms of certain subfields of cyclotomic fields and applications
(2020-05-07)
In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as tools for constructing algebraic lattices in Euclidean space with optimal center density. We also obtain a closed formula ...
Classical Compton scattering with high intensity twisted fields
(Institute of Electrical and Electronics Engineers Inc., 2016-10)
We have studied the different forms of emitted radiation by a free electron when is under interaction by a superintense twisted field. The fundaments of this study are based in the mathematical development as derived in ...
On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms
(2009)
We define a twisted two complex variables Rankin-Selberg convolution of Siegel cusp forms of degree 2. We find its group of functional equations and prove its analytic continuation to ℂ2. As an application we obtain a ...