36 citations · 153 across the 21 of their papers we have counts for
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math.DG2009★ 18 cited
Invariant Berezin integration on homogeneous supermanifolds
Alexander Alldridge, Joachim Hilgert
Let G be a Lie supergroup and H a closed subsupergroup. We study the unimodularity of the homogeneous supermanifold G/H, i.e. the existence of G-invariant sections of its Berezinia…
math.DG2009★ 5 cited
Infinite-dimensional supermanifolds over arbitrary base fields
Alexander Alldridge, Martin Laubinger
In his recent investigation of a super Teichmüller space, Sachse (2007), based on work of Molotkov (1984), has proposed a theory of Banach supermanifolds using the `functor of poin…
math.CV2009
Boundary orbit strata and faces of invariant cones and complex Olshanskii semigroups
Alexander Alldridge
Let D=G/K be an irreducible Hermitian symmetric domain. Then G is contained in a complexification, and there exists a closed complex subsemigroup, the so-called minimal Olshanskii…