Flat Base Change Formulas for (g,K)(\mathfrak{g},K)-modules over Noetherian rings

The fucntor $I$ and its derived functor over the complex number field have been playing important roles in representation theory of real reductive Lie groups. In this paper, we discuss the flat base change formulas of the functor I and its derived functor over Noetherian rings. In particular, a flat base change theorem for $A_{\mathfrak{q}}(\lambda)$ is obtained.Comment: 34 page

Dg analogues of the Zuckerman functors and the dual Zuckerman functors I

We study the category of dg Harish-Chandra modules (over an arbitrary commutative ring) and construct dg analogues of the induction functor, the production functor, the Zuckerman functor and the dual Zuckerman functor.Comment: 38 page

Classification of irreducible representations of affine group superschemes and the division superalgebras of their endomorphisms

In this paper, we classify irreducible representations of affine group superschemes over fields $F$ of characteristic not two in terms of those over a separable closure $F^{\mathrm{sep}}$ and their Galois twists. We also compute the division superalgebras of their endomorphisms mainly when they are central. Finally, we give numerical conclusions for quasi-reductive algebraic supergroups under certain conditions, based on Shibata's Borel--Weil theory for split quasi-reductive algebraic supergroups.Comment: 40 pages. Comments welcom

Integral models of Harish-Chandra modules of the finite covering groups of PU(1,1)

We compute integral models of real and cohomological induction for finite covering groups of PU(1,1).Comment: Corollary 5.12 -- Remark 5.15 and their variants are added. To appear in Journal of Algebra 57

Half-integrality of line bundles on partial flag schemes of classical Lie groups

In this paper, we classify partial flag schemes of the standard $\mathbb{Z}\left[1/2\right]$-forms of classical Lie groups and equivariant line bundles on them by Galois descent.Comment: The section numbers were change

A potential diagnostic biomarker: Proteasome LMP2/b1i-differential expression in human uterus neoplasm

Uterine leiomyosarcoma (ULMS) develops more often in the muscle tissue layer of the uterine body than in the uterine cervix. The development of gynecologic tumors is often correlated with female hormone secretion; however, the development of uterine ULMS is not substantially correlated with hormonal conditions, and the risk factors are not yet known. Importantly, a diagnostic-biomarker which distinguishes malignant ULMS from benign tumor leiomyoma (LMA) is yet to be established. Accordingly, it is necessary to analyze risk factors associated with uterine ULMS, to establish a treatment method. Proteasome low-molecular mass polypeptide 2(LMP2)/b1i-deficient mice spontaneously develop uterine LMS, with a disease prevalence of ~40% by 14 months of age. We found LMP2/b1i expression to be absent in human LMS, but present in human LMA. Therefore, defective-LMP2/b1i expression may be one of the risk factors for ULMS. LMP2/b1i is a potential diagnostic-biomarker for uterine ULMS, and may be a targeted-molecule for a new therapeutic approach

Elucidation of a conserved RNA stem-loop structure in the packaging signal of human immunodeficiency virus type 1

AbstractA region of human immunodeficiency virus type 1 (HIV-1) genomic RNA known to interact with the viral nucleocapsid protein is one of the crucial components for retroviral genomic RNA packaging. We have investigated the secondary structure for this RNA packaging signal of HIV-1 using RNA mapping techniques and extensive computer analyses. Our results suggest that the RNA sequence containing the packaging signal conforms to a stable stem-loop structure and that a portion of this structure is conserved among twenty independent HIV-1 isolates. The heterogeneity of the RNA packaging sequence was not correlated with the amino acid sequence variability of the viral nucleocapsid protein. These findings have critical implication in understanding the viral maturation process

Appropriate Amounts and Activity of the Wilms’ Tumor Suppressor Gene, wt1, Are Required for Normal Pronephros Development of Xenopus Embryos

The Wilms’ tumor suppressor gene, wt1, encodes a zinc finger-containing transcription factor that binds to a GC-rich motif and regulates the transcription of target genes. wt1 was first identified as a tumor suppressor gene in Wilms’ tumor, a pediatric kidney tumor, and has been implicated in normal kidney development. The WT1 protein has transcriptional activation and repression domains and acts as a transcriptional activator or repressor, depending on the target gene and context. In Xenopus, an ortholog of wt1 has been isolated and shown to be expressed in the developing embryonic pronephros. To investigate the role of wt1 in pronephros development in Xenopus embryos, we mutated wt1 by CRISPR/Cas9 and found that the expression of pronephros marker genes was reduced. In reporter assays in which known WT1 binding sequences were placed upstream of the luciferase gene, WT1 activated transcription of the luciferase gene. The injection of wild-type or artificially altered transcriptional activity of wt1 mRNA disrupted the expression of pronephros marker genes in the embryos. These results suggest that the appropriate amounts and activity of WT1 protein are required for normal pronephros development in Xenopus embryos

Cyclic Behavior of Multi-Row Slit Shear Walls Made from Low Yield Point Steel

The steel slit shear wall has attracted much attention as a lateral force-resisting system. However, issues such as fractures formed at the slit ends and pinched hysteresis reduce energy dissipation. To address these issues, the authors have developed a steel slit shear wall made from low yield point steel that has a low yield stress and large ductility and strain hardening. Steel slit shear walls made from low-yield-point steel dissipated energy at small lateral drifts, shear deformation was evenly distributed among all rows, fracture was eliminated, and fat hysteresis without the requirement for out-of-plane constraints was feasible. By adjusting dimensions of the link (segment divided by slits) and the number of rows of links while maintaining the required shear strength and stiffness, a small width-to-thickness ratio for the links was achievable to ensure the in-plane behavior of links and thus good energy dissipation. The combined hardening model developed using commercially available software simulated well the large strain hardening of low-yield-point steel. A proposed design procedure that ensures good energy dissipation was given