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Quantum function algebras from finite-dimensional Nichols algebras
(European Mathematical Society, 2020-10)
We describe how to find quantum determinants and antipode formulas from braidedvector spaces using the FRT-construction and finite-dimensional Nichols algebras. It improvesthe construction of quantum function algebras using ...
PBW deformations of a Fomin–Kirillov Algebra and other examples
(Springer, 2018-09-26)
We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras. One of our examples is the Fomin–Kirillov algebra E3. Another one appeared in a paper of García Iglesias and Vay. As a ...
PI-Algebras
([s.n.], 2003)
Clifford algebra-parametrized octonions and generalizations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
Finite-dimensional pointed or copointed Hopf algebras over affine racks
(Academic Press Inc Elsevier Science, 2014-01)
We study the pointed or copointed liftings of Nichols algebras associated to affine racks and constant cocycles for any finite group admitting a principal YD-realization of these racks. In the copointed case we complete ...
Aportes a la clasificación de álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita
(2020)
Esta tesis es un aporte a la clasificación de las álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita sobre cuerpos algebraicamente cerrados y de característica cero. En una primera instancia nos concentramos ...
A álgebra na criptografia
(Universidade Tecnológica Federal do ParanáCornelio ProcopioBrasilLicenciatura em MatemáticaUTFPR, 2015-06-03)
Algebra is a branch of mathematics that stands out because of its applicability to aid in the understanding and improvement of the modern world. One area of great acting is encryption, which gained prominence after the ...
Dinámica asintótica de sistemas cuánticos abiertos
(2015-03)
Se estudia el problema de caracterizar el comportamiento asintótico de semigrupos dinámicos cuánticos en dimensión finita. Estos son usados para modelar sistemas cuánticos abiertos en aproximación markoviana. En este trabajo ...