Objects Dual to Subsemigroups of Groups.
Odd symplectic groups.
On a special class of Frobenius groups admitting planar partitions.
On automorphism groups of connected Lie groups.
On closed abelian subgroups of real Lie groups.
On compact elements in solvable Lie groups
On compactification lattices of subsemigroups of .
On convexity, the Weyl group and the Iwasawa decomposition
On Faithful Representations of the Holomorph of Lie Groups.
On hyperbolic cones and mixed symmetric spaces.
On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures
We study analogues of the notions from Lie theory of Levi subgroup and Levi decomposition, in the case of groups G definable in an o-minimal expansion of a real closed field. With a rather strong definition of ind-definable semisimple subgroup, we prove that G has a unique maximal ind-definable semisimple subgroup S, up to conjugacy, and that G = R· S where R is the solvable radical of G. We also prove that any semisimple subalgebra of the Lie algebra of G corresponds to a unique ind-definable semisimple...
On Lie semiheaps and ternary principal bundles
We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence of left-invariant vector fields. Furthermore, we show how such manifolds are related to Lie groups and establish the analogue of principal bundles in this ternary setting. In particular, we generalise the well-known ‘heapification’ functor to the ambience of Lie groups and principal bundles.
On minimal parabolic subgroups of exponential Lie groups.
On porcupine varieties in Lie algebras.
On quaternionic discrete series representations, and their continuations.
On Subgroups of the Noncompact Real Exceptional Lie Group F4.
On the automorphism group of a compact Lorentz manifold and other geometric.
On the basic algebraic operations in solvable Lie groups.
On the casual structure of homogeneous manifolds.
On the causal structure of Lorentzian Lie groups. A globality theorem for Lorentzian cones in certain solvable Lie algebras.