Results 51 to 60 of about 318 (158)

Invariants of a maximal unipotent subgroup and equidimensionality

, 2012
Let U be a maximal unipotent subgroup of a semisimple group G. If G acts on an affine variety X, then it was proved by Hadžiev (1967) that there is a finitely generated k-algebra A such that k[X]U≃(k[X]⊗A)G.
Panyushev, Dmitri I., Dmitri I. Panyushev   +1 more
core   +1 more source

From Defense to Disease: NADPH Oxidase in Cellular Function and Dysregulation

Journal of Immunology Research, Volume 2026, Issue 1, 2026.
Nicotinamide adenine dinucleotide phosphate hydrogen (NADPH) oxidase is an important family of enzymes that produce reactive oxygen species (ROS) and consists of NOX1‐5, DUOX1, and DUOX2. These enzymes exhibit diverse tissue distributions with different activation mechanisms involved.
Ankush Prasad, Renu Kushwaha, Phaniendra Alugoju, Pavel Pospíšil, Deepak Rathi, Poorani Gurumallesh Prabu   +5 more
wiley   +1 more source

Parabolic subgroups with abelian unipotent radical as a testing site for invariant theory.

, 1999
. Let L be a simple algebraic group and P a parabolic subgroup with Abelian unipotent radical Pu. Many familiar varieties (determinantal varieties, their symmetric and skew-symmetric analogues) arise as closures of P-orbits in Pu.
Panyushev, D., Panyushev, D. I., Dmitri I. Panyushev   +2 more
core   +1 more source

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Classification of K_F-orbits of Unipotent Elements in Symmetric F-varieties of SL(n, F)

, 2010
Richardson proved in 1982 that, given an algebraic group G and some involution, we could have only a finite number of K-orbits of unipotent elements in the symmetric variety P = G/K over an algebraically closed field, where K is the fixed point group of ...
Wang, Qiang
core  

Ontogenetic Diversification of Type 2 Conventional Dendritic Cells in the Bone Marrow: A Central Logic for Peripheral Immunity

Immunological Reviews, Volume 336, Issue 1, November 2025.
ABSTRACT Type 2 conventional dendritic cells (cDC2s) are central orchestrators of adaptive immunity. While historically considered a single population shaped by local microenvironments, recent evidence indicates that cDC2s comprise developmentally distinct subsets—cDC2As and cDC2Bs—with divergent ontogeny, tissue distribution, and immune functions ...
Robert W. Baber, Miguel Â. Magalhães‐Patrício, Maria V. Pires, Vasco Correia, Juan M. Lozano‐Gil, João C. Guimarães, Chrysothemis C. Brown, Marc Dalod, Carlos M. Minutti   +8 more
wiley   +1 more source

Orbital varieties and unipotent representations of classical semisimple Lie group

, 2001
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliographical references (p. 81-83).Let G be a complex semi-simple and classical Lie group. The notion of a Lagrangian covering can be used to extend the method
Pietraho, Thomas, 1973-
core  

The Picard-Fuchs equation of a family of Calabi-Yau threefolds without maximal unipotent monodromy

, 2010
Recently, J.C. Rohde constructed families of Calabi–Yau threefolds parametrized by Shimura varieties. The points corresponding to threefolds with complex multiplication are dense in the Shimura variety, and moreover, the families do not have boundary ...
B. van Geemen, A. Garbagnati
core   +1 more source

The geometry and arithmetic of bielliptic Picard curves

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley   +1 more source

Nanostructured Biomaterial‐Based Approaches to Support Induced Pluripotent Stem Cell Differentiation

Advanced NanoBiomed Research, Volume 5, Issue 10, October 2025.
Induced pluripotent stem cells (iPSCs), reprogrammed from adult somatic cells, represent an innovative approach for regenerative medicine and biomedical applications. This review highlights the importance of nanostructured biomaterials, utilized as delivery systems or scaffolds, in supporting iPSC differentiation and fate through structural and ...
Beatriz A. B. R. Passos, Matteo Battaglini, Gianni Ciofani   +2 more
wiley   +1 more source