We extend the classical result asserting that twisting operator preserves certain Deligne–Lusztig character values for truncated formal power series; along way we discuss some properties of centralisers. Then, combining with orbit construction, apply it to analyse SL2 over finite dual numbers. In appendix an action GLn(Fq[[π]]/πr) on a Springer fibre intersected by varieties.

A series of platinum(II) complexes with 1,3-bis(2-pyridylimino)isoindoline (BPI) derivatives were prepared by substitution of the coordinated Cl in the precursor complex Pt(BPI)Cl with a N-heterocyclic ligand such as pyridine, phthalazine or phenanthridine. These complexes display orange to red luminescence in fluid dichloromethane solutions and in the solid states at room temperature. The phot...

In the cation of the title salt, C4H8NO(+)·C24H20B(-), the C-N bond lengths are 1.272 (2), 1.4557 (19) and 1.4638 (19) Å, indicating double- and single-bond character, respectively. The C-O bond length of 1.3098 (19) Å shows that double-bond character and charge delocalization occurs within the NCO plane of the cation. In the crystal, a C-H⋯π inter-action is present between the methyl-ene H ato...

The title compound, C(6)H(8)FN(3)O(2), an analog of histidine, shows a reduced side-chain pK(a) (ca 1). The title structure exhibits a shortening of the bond between the proximal ring N atom and the F-substituted ring C atom, indicating an increase in π-bond character due to an inductive effect of fluorine.

The π system of the title compound, known as julolidinemalononitrile, C(16)H(15)N(3), is nearly planar, with a 3.5 (1)° twist between the aromatic and dicyano-vinyl groups. The bond lengths indicate significant zwitterionic character in the ground state.

We prove that if G is a countable, discrete group having infinite, normal subgroups with the relative property (T), then the Bernoulli shift action ofG on Π g∈G (X0, μ0)g for (X0, μ0) an arbitrary probability space, has first cohomology group isomorphic to the character group of G.

We answer a question of I. Juhasz by showing that MA +¬ CH does not imply that every compact ccc space of countable π-character is separable. The space constructed has the additional property that it does not map continuously onto Iω1 .

Amino acid interlinked pyrene and naphthalenediimide (NDI) based novel donor-acceptor-donor (D-A-D) triads are designed to exploit their topological symmetry and complementary π-character for facile charge-transfer complexation. Consequently, free-floating high-aspect-ratio supercoiled nanofibres and hierarchical helical bundles of triads are realized by modulating the chemical functionality of...

Tetrathiafulvalenes (TTF)-annulated [28]hexaphyrin affords an electron rich flexible π-conjugated system whose limiting conformations can be controlled through choice of solvents. The conformation-dependent intramolecular charge transfer character, as well as electron reserve capability of the hexakis-TTF annulated hexaphyrin, was analyzed.

In this paper, ‘T’ character-type array antenna system is proposed which estimates the directions of arrival (DOA) by the virtual uniform rectangular arrays. The proposed system consists of 4 antenna elements distributed like the character ‘T’. The performance of the proposed system in DOA estimation is evaluated by some simulation and experiments. First we show that DOA is estimated correctly ...