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Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II: Unipotent classes in symplectic groups
(World Scientific, 2016-08)
We show that Nichols algebras of most simple Yetter-Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal ...
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 ...
Maximal Subgroups of Compact Lie Groups
(Heldermann Verlag, 2012-01-01)
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) ...
Maximal Subgroups of Compact Lie Groups
(HELDERMANN VERLAGLEMGO, 2013-08-02)
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) ...
Finite-dimensional pointed Hopf algebras over finite 3 simple groups of Lie type V. Mixed classes in Chevalley 4 and Steinberg groups
(Springer, 2020-06)
We show that all classes that are neither semisimple nor unipotent in finite simple Chevalley or Steinberg groups different from PSLn(q) collapse (i.e. are never the support of a finite-dimensional Nichols algebra). As a ...
Homological invariants for pro-p groups and some finitely presented pro-l groups
(Springer WienWienAustria, 2005)