15 citations · 86 across the 13 of their papers we have counts for
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Normalizers of solvable spherical subgroups
Roman Avdeev
For an arbitrary connected solvable spherical subgroup H of a connected semisimple algebraic group G we compute the group N_G(H), the normalizer of H in G. Thereby we complete a cl…
Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup
Roman Avdeev
For an affine spherical homogeneous space G/H of a connected semisimple algebraic group G, we consider the factorization morphism by the action on G/H of a maximal unipotent subgro…
On solvable spherical subgroups of semisimple algebraic groups
Roman Avdeev
We develop a structure theory of connected solvable spherical subgroups in semisimple algebraic groups. Based on this theory, we obtain an explicit classification of all such subgr…
An epimorphic subgroup arising from Roberts' counterexample
Roman Avdeev
In 1994, based on Roberts' counterexample to Hilbert's fourteenth problem, A'Campo-Neuen constructed an example of a linear action of a 12-dimensional commutative unipotent group H…