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Moving frames for Lie symmetries reduction of nonholonomic systems
(2019-08-01)
Given a Lie group of finite-dimensional transformations acting on a manifold, there is always an action known as a long-acting group action. This action describes the fundamental basis of the Lie theory connecting groups ...
Construção e aplicações do caráter de Steinberg
(2012-11-07)
O caráter de Steinberg pode ser construído sempre que temos um grupo finito G equipado com um par-BN. Em particular, se G é um grupo finito do tipo Lie, o caráter de Steinberg tem um papel de destaque no estudo dos caracteres ...
Álgebras cuánticas de potencias divididas
(2016-03)
Se definen las álgebras de Lusztig y sus dobles de Drinfeld, las cuánticas de potencias divididas, asociadas a álgebras de Nichols de tipo diagonal de dimensión finita.
En ambos casos se prueba una presentación por ...
Eliminating components in Quillen's conjecture
(Academic Press Inc Elsevier Science, 2022-06-16)
We generalize an earlier result of Segev, which shows that some component in a minimal counterexample to Quillen's conjecture must admit an outer automorphism. We show in fact that every component must admit an outer ...
Generalized non-abelian Toda models of dyonic type
(2003-12-01)
The construction of a class of non-abelian Toda models admitting dyonic type soliton solutions was discussed. The construction of the integrable Toda models was done in terms of gauged Wess-Zumino-Witten (WZW) model. A ...
Finite presentability of some metabelian Hopf algebras
(Australian Mathematics Publ Assoc IncCanberraAustralia, 2005)
Z-graded Identities Of The Lie Algebra W1
(Academic Press Inc., 2015)