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• #### Critical points and symmetries of a free energy function for biaxial nematic liquid crystals ﻿

(2015-12-31)
We describe a general mean field model for the free energy function for a homogeneous medium of mutually interacting molecules, based on the formalism for a biaxial nematic liquid crystal set out by Katriel et al (1986) ...
• #### Molien series and low-degree invariants for a natural action of $SO(3) \wr Z_2$ ﻿

(2015-12-31)
We investigate the invariants of the 25-dimensional real representation of the group SO(3) ? Z2 given by the left and right actions of SO(3) on 5 5 matrices together with matrix transposition; the action on column vectors ...