Non-existence of exceptional orbits under polar actions on Hilbert spaces

We prove that any polar action on a separable Hilbert space by a connected Hilbert Lie group does not have exceptional orbits. This generalizes a result of Berndt, Console and Olmos in the finite dimensional Euclidean case. As an application, we give a simple geometric proof of the fact that any hyperpolar action on a simply connected compact Riemannian symmetric space by a connected Lie group does not have exceptional orbits.Comment: 9 pages. Added some references, added Section 2 and revised the introductio

Diarylethene Isomerization by Using Triplet–Triplet Annihilation Photon Upconversion

Green-to-blue triplet–triplet annihilation photon upconversion with the well-studied upconversion pair 9,10-diphenylanthracene (DPA)/platinum octaethylporphyrin (PtOEP) was used to reversibly drive the photoisomerization of diarylethene (DAE) photoswitches by using visible light. By carefully selecting the kinetic and spectral properties of the molecular system as well as the experimental geometry, a single green light source can be used to selectively trigger both the ring-opening and the ring-closing reactions, whilst also inducing fluorescence from the colored closed isomer that can be used as a readout to monitor the isomerization process in situ. The upconversion solution and the DAE solution are kept physically separated, allowing them to be characterized both concomitantly and individually without further separation processes. The ring-closing reaction using upconverted photons was quantified and compared to the efficiency of direct isomerization with ultraviolet light

Targeted disruption of hir1 alters the transcriptional expression pattern of putative lignocellulolytic genes in the white-rot fungus Pleurotus ostreatus

Pleurotus ostreatus is frequently used in molecular genetics and genomic studies on white-rot fungi because various molecular genetic tools and relatively well-annotated genome databases are available. To explore the molecular mechanisms underlying wood lignin degradation by P. ostreatus, we performed mutational analysis of a newly isolated mutant UVRM28 that exhibits decreased lignin-degrading ability on the beech wood sawdust medium. We identified that a mutation in the hir1 gene encoding a putative histone chaperone, which probably plays an important role in DNA replication-independent nucleosome assembly, is responsible for the mutant phenotype. The expression pattern of ligninolytic genes was altered in hir1 disruptants. The most highly expressed gene vp2 was significantly inactivated, whereas the expression of vp1 was remarkably upregulated (300-400 fold) at the transcription level. Conversely, many cellulolytic and xylanolytic genes were upregulated in hir1 disruptants. Chromatin immunoprecipitation analysis suggested that the histone modification status was altered in the 5'-upstream regions of some of the up- and down-regulated lignocellulolytic genes in hir1 disruptants compared with that in the 20b strain. Hence, our data provide new insights into the regulatory mechanisms of lignocellulolytic genes in P. ostreatus