15 citations · 86 across the 13 of their papers we have counts for
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math.RT2020★ 4 cited
On extended weight monoids of spherical homogeneous spaces
Roman Avdeev
Given a connected reductive complex algebraic group and a spherical subgroup , the extended weight monoid encodes the -module structures o…
math.RT2017★ 4 cited
Branching rules related to spherical actions on flag varieties
Roman Avdeev, Alexey Petukhov
Let be a connected semisimple algebraic group and let be a connected reductive subgroup. Given a flag variety of , a result of Vinberg and Kimelfeld assert…
math.RT2010★ 15 cited
Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
Roman Avdeev
The extended weight semigroup of a homogeneous space G/H of a connected semisimple algebraic group G characterizes the spectra of the representations of G on the spaces of regular…