We examine the general problem of computing characteristic invariants of principal bundles whose structural group [italic capital]G is a topological group. Under the hypothesis that [italic capital]G has real cohomology finitely generated as an [bold]R-module, we are able to giv…
First we investigate the structure of Lie algebras with invariant cones and give a characterization of those Lie algebras containing pointed and generating invariant cones. Then we study the global structure of invariant Lie semigroups, and how far Lie's third theorem remains tr…
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of t…
Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of t…
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"For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomolog…
"Tables of Dimensions, Indices, and Branching Rules for Representations of Simple Lie Algebras contains the reductions (branching rules) of representations of complex simple Lie algebras of ranks not exceeding 8 to representations of their maximal semisimple subalgebras; and the…
"Tables of Dimensions, Indices, and Branching Rules for Representations of Simple Lie Algebras contains the reductions (branching rules) of representations of complex simple Lie algebras of ranks not exceeding 8 to representations of their maximal semisimple subalgebras; and the…
