Bounds on multiplicities of spherical spaces over finite fields
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DOI: 10.1016/j.jpaa.2018.12.008
Abstract: Let $G$ be a reductive group scheme of type $A$ acting on a spherical scheme $X$. We prove that there exists a number $C$ such that the multiplicity $\dim Hom(\rho,\mathbb{C}[X(F)])$ is bounded by $C$, for… read more here.
Keywords: spaces finite; bounds multiplicities; scheme; multiplicities spherical ... See more keywords
Splitting tessellations in spherical spaces
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Probability"
DOI: 10.1214/19-ejp267
Abstract: The concept of splitting tessellations and splitting tessellation processes in spherical spaces of dimension $d\geq 2$ is introduced. Expectations and variances of spherical curvature measures induced by a splitting tessellation are studied using tools from… read more here.
Keywords: splitting tessellations; tessellations spherical; geometry; spherical spaces ... See more keywords