Rotationally invariant ring-shaped liquid crystal structures between two substrates with different photoalignment
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Molecular Liquids"
DOI: 10.1016/j.molliq.2021.116238
Abstract: Abstract Planar patterned photoalignment can be used to align liquid crystals (LCs) in any azimuthal orientation. Using different patterns on both substrates, we fabricated and analyzed complex three-dimensional LC structures. We developed four configurations in… read more here.
Keywords: invariant ring; rotationally invariant; shaped liquid; ring shaped ... See more keywords
Invariant Rings of the Special Orthogonal Group Have Nonunimodal h-Vectors
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498825400018
Abstract: For $K$ an infinite field of characteristic other than two, consider the action of the special orthogonal group $\operatorname{SO}_t(K)$ on a polynomial ring via copies of the regular representation. When $K$ has characteristic zero, Boutot's… read more here.
Keywords: rings special; invariant rings; orthogonal group; special orthogonal ... See more keywords