We obtain two formulae for the higher Frobenius-Schur indicators: one for a spherical fusion category in terms of the twist of its center and the other one for a modular tensor category in terms of its twist. The first one is a categorical generalization of an analogous result by Kashina, Sommerhäuser, and Zhu for Hopf algebras, and the second one extends Bantay’s 2nd indicator formula for a co...

PREMISE OF THE STUDY Microsatellite loci were developed for Trichophorum planifolium (Cyperaceae), an endangered woodland sedge protected under federal and provincial legislation in Canada, to explore patterns of population genetic diversity and differentiation in the species. METHODS AND RESULTS Sixty-three primer pairs were evaluated for amplification consistency and screened for polymorphi...

Molecular phylogenies of euglenids are usually based on ribosomal RNA genes that do not resolve the branching order among the deeper lineages. We addressed deep euglenid phylogeny using the cytosolic form of the heat-shock protein 90 gene (hsp90), which has already been employed with some success in other groups of euglenozoans and eukaryotes in general. Hsp90 sequences were generated from thre...

physiological effect of six levels of water stress (0, -0.1, -.03, -0.6, -0.9 and -1.2 mp) was studied on seed germination and plumule as well as radicule growth length in three species namely: agropyron elongatum, agropyron desertourm and secale montanum. polyethylene glycol (peg) was used to provide appropriate water potentials. a total of 100 seeds in four replications (petri dishes) were so...