57 citations · 259 across the 43 of their papers we have counts for
4 papers · 1 filter
Newton polytopes for horospherical spaces
Kiumars Kaveh, A. G. Khovanskii
A subgroup H of a reductive group G is horospherical if it contains a maximal unipotent subgroup. We describe the Grothendieck semigroup of invariant subspaces of regular functions…
Moment polytopes, semigroup of representations and Kazarnovskii's theorem
Kiumars Kaveh, Askold G. Khovanskii
Two representations of a reductive group G are spectrally equivalent if the same irreducible representations appear in both of them. The semigroup of finite dimensional representat…
A remark on asymptotic enumeration of highest weights in tensor powers of a representation
Kiumars Kaveh
We consider the semigroup S of highest weights appearing in tensor powers V^k of a finite dimensional representation V of a connected reductive group. We describe the cone generate…
Convex bodies associated to actions of reductive groups
Kiumars Kaveh, Askold G. Khovanskii
We associate convex bodies to a wide class of graded G-algebras where G is a connected reductive group. These convex bodies give information about the Hilbert function as well as m…