The odd reflections are an effective tool in the Lie superalgebra representation theory, as they relate non-conjugate Borel subalgebras. We introduce analogues of for Yangian \( \mathrm{Y}(\mathfrak {gl}_{m|n})\) and use them to produce a transition rule parameters highest weight modules corresponding change parity sequence. This leads description finite-dimensional irreducible representations ...

The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.

In this research, we synthesized a novel DNA-polymer conjugate and evaluated its application to an affinity precipitation separation of TATA-box binding protein (TBP), which is a representative general transcription factor. The conjugate was composed of two fractions. One was a double-stranded DNA modified by the grafting of poly(N-isopropylacrylamide) (PNIPAAm), which is known as a thermosensi...

We studied the dynamics of voluntary, horizontal, binocular gaze-shifts between pairs of continuously visible, real three-dimensional targets. Subjects were stabilized on a biteboard to allow full control of target angles, which were made to differ only in distance (pure vergence), only in direction (pure version; conjugate saccades) or in both distance and direction (disjunctive saccades). A w...

We introduce a new member of a family of photochemically active oligonucleotide conjugates. A Phenanthrodihydrodioxin (PDHD)-based agent was synthesized and covalently linked to a 5'-end of the 9-mer oligonucleotide via a hexamethylene linker. The conjugate hybridized to a complementary 30-nucleotide-long target and efficiently cleaved it in a sequence specific manner. Up to 67% of target was s...

Let A and B be simple separable nuclear monotracial C⁎-algebras, let α β strongly outer actions of a countable discrete amenable group Γ on B, respectively. In this paper, we show that α⊗idW A⊗W β⊗idW B⊗W are cocycle conjugate where W is the Razak-Jacelon algebra. Also, characterize such by using fixed point subalgebras Kirchberg's central sequence C⁎-algebras.

For Lucas sequences of the first kind (un)n≥0 and second kind (vn)n≥0 defined as usual by un = (α n − βn)/(α − β), vn = α n + βn, where α and β are either integers or conjugate quadratic integers, we describe the sets {n ∈ N : n divides un} and {n ∈ N : n divides vn}. Building on earlier work, particularly that of Somer, we show that the numbers in these sets can be written as a product of a so...