The Cramer varieties Cr(r,r+s,s)

Abstract

Abstract. In this paper we study quasi-homogeneous affine algebraic varieties, that is, varieties obtained as closures of orbits of suitable group representations. We also discuss one interesting case that has links with the Orthogonal Grassmannian OGr(5, 10). The main aim is to write the tangent bundle and the canonical class of quasi-homogeneous affine algebraic varieties in terms of group representations.

A note on the canonical divisor of the generalised affine Stiefel algebraic varieties

“…Equivalently, a homogeneous space is of the form G/H, where G is an algebraic group and H a closed subgroup of G. Homogeneous spaces play a vital role in the representation theory of the algebraic group because representations are often realised as the space of sections of vector bundles over homogeneous spaces. Many authors [2,3,4,5,6] have studied homogeneous and quasi-homogeneous spaces in different contexts. Corti and Reid [1] studied weighted analogs of the homogeneous spaces.…”

Diabetic animal fed with high‐fat diet prevents the protective effect of myocardial ischemic preconditioning effect in isolated rat heart perfusion model

“…A marked change in the phenotype is characterized by DCM heart, triggered by endothelial dysfunction, perturbed metabolic regulation, and altered cell signaling pathways. [14] Recently, we have shown that DCM rat heart exhibits higher sensitivity of I/R-associated cardiac injury than DM heart. [15] Besides, we demonstrated that cardiac mitochondrial dysfunction plays a vital role in the pathology of DCM heart.…”