Buscar
Mostrando ítems 81-90 de 283
Deformation by cocycles of pointed Hopf algebras over non-abelian groups
(International Press Boston, 2015-01)
We explore a method for explicitly constructing multiplicative 2-cocycles for bosonizations of Nichols algebras B(V ) over Hopf algebras H. These cocycles arise as liftings of H-invariant linear functionals on V⊗ V and ...
Theory of braided Hopf crossed products
(Academic Press Inc Elsevier Science, 2003-03)
We define a type of crossed product over braided Hopf algebras, which generalizes the ones introduced by Blattner, Cohen and Montgomery and Doi and Takeuchi, and we study some of its properties. For instance, we prove a ...
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 ...
El álgebra simétrica cuántica
(UR. FC, 2007)
Álgebras de Hopf, dualidad y productos torcidos
(Pontificia Universidad Católica del Perú. Departamento de CienciasPE, 2018)
On twisted conjugacy classes of type D in sporadic simple groups
(American Mathematical Society, 2013-02)
We determine twisted conjugacy classes of type D associated with the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf algebras with non-abelian ...
Finite-dimensional Nichols algebras over dual Radford algebras
(World Scientific, 2021-01)
For n, m ∈ N, let Hn,m be the dual of the Radford algebra of dimension n 2m. We present new finite-dimensional Nichols algebras arising from the study of simple Yetter-Drinfeld modules over Hn,m. Along the way, we describe ...
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I: non-semisimple classes in PSLn(q)
(Elsevier Science Inc, 2015-11)
We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium ...
Finite-Dimensional Pointed Hopf Algebras Over Finite Simple Groups of Lie Type IV: Unipotent Classes in Chevalley and Steinberg Groups
(Springer, 2020-06-14)
We show that all unipotent classes in finite simple Chevalley or Steinberg groups, different from PSLn(q) and PSp2n(q), collapse (i.e. are never the support of a finite-dimensional Nichols algebra), with a possible exception ...