5 papers
Modules over the Takiff Block type Lie algebra
Shuoyang Xu, Haibo Chen
In this paper, we introduce a family of infinite-dimensional Lie algebras of Takiff Block type, containing Heisenberg-Virasoro algebra, -algebra , and BMS-Kac-Moo…
Universal optimality of -avoiding spherical codes and designs
P. G. Boyvalenkov, D. D. Cherkashin, P. D. Dragnev
Given an open set , we introduce the concepts of -avoiding spherical codes and designs, that is, spherical codes that have no inner products in the set . We…
Universal polar dual pairs of spherical codes found in and
S. V. Borodachov, P. G. Boyvalenkov, P. D. Dragnev +3
We identify universal polar dual pairs of spherical codes and such that for a large class of potential functions the minima of the discrete -potential of on the…
Riesz equilibrium on a ball in the external field of a point charge
Peter D. Dragnev, Ramon Orive, Eduard B. Saff +1
We investigate the Riesz energy minimization problem on a -dimensional ball in the presence of an external field created by a point charge above the ball in , …
Energy bounds for weighted spherical codes and designs via linear programming
Sergiy Borodachov, Peter Boyvalenkov, Peter Dragnev +3
Universal bounds for the potential energy of weighted spherical codes are obtained by linear programming. The universality is in the sense of Cohn-Kumar -- every attaining code is…