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Relating propelinear and binary G-linear codes
(Elsevier B.V., 2014)
The intrinsic fundamental group of a linear category
(Springer, 2012-08)
We provide an intrinsic definition of the fundamental group of a linear category over a ring as the automorphism group of the fibre functor on Galois coverings. If the universal covering exists, we prove that this group ...
The left invariant metric in the general linear group
(Elsevier Science, 2014-12)
Left invariant metrics induced by the p-norms of the trace in the matrix algebra are studied on the general linear group. By means of the Euler–Lagrange equations, existence and uniqueness of extremal paths for the length ...
Dispersiveness of control affine systems on nilpotent Lie groups : invariant and linear systems
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2023)
Error-block codes and poset metrics
(Amer Inst Mathematical SciencesSpringfieldEUA, 2008)
The fundamental group of a Hopf linear category
(Elsevier Inc, 2016-09)
We define the fundamental group of a Hopf algebra over a field. For this purpose we first consider gradings of Hopf algebras and Galois coverings. The latter are given by linear categories with new additional structure ...
Groups of linear isometries on poset structures
(Elsevier Science BvAmsterdamHolanda, 2008)
Non-linear Liouville and Shrödinger equations in phase space
(2010)
Unitary representations of the Galilei group are studied in phase space, in order to describe classical and quantum systems. Conditions to write in general form the generator of time translation and Lagrangians in phase ...