Compact Simple Lie Groups and Their C-, S-, and E-Transforms
New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 ≤ n < ∞. Rank 1 transforms are known.
Jiri Patera
doaj
On the nilpotent complex of simple groups of Lie type
Let \(G\) be a finite group and \(t(G)\) be the number of connected components of the prime graph of \(G\), and \(Nl(G)\) be the partially ordered set of nilpotent subgroups of \(G\). In her previous paper [Commun. Algebra 23, No. 5, 1825-1836 (1995; Zbl 0831.20021)], the authoress proved that \(Nl(G)\) is not connected if and only if \(t(G)>1\) and ...
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Dedicated to Professor Shoro Araki on his 60th ...
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