We provide unipotent factorizations of vector bundle automorphisms real and complex bundles over finite dimensional locally CW-complexes. This generalizes work Thurston–Vaserstein Vaserstein for trivial bundles. also address two symplectic cases propose a geometric analog the problem in setting holomorphic Stein manifolds.

We investigate support schemes for infinitesimal unipotent supergroups and their representations. Our main results provide a non-cohomological description of these which generalizes the classical work Suslin, Friedlander, Bendel. As consequence, in this setting have desired features such theory, including naturality with respect to group homomorphisms, tensor product property, realizability. an...

myoepithelioma is a rare neoplasm of the salivary glands, generally occurring in the parotid gland and less often in the minor accessory salivary glands of the oral cavity. it is known to be a rare entity occurring at unusual locations, which makes it difficult to diagnose. such a rare case of myoepithelioma in salivary glands present at an unusual location around the left orbit is presented here.

Introduced by Kawanaka in order to find the unipotent representations of finite groups of Lie type, generalized Gelfand–Graev characters have remained somewhat mysterious. Even in the case of the finite general linear groups, the combinatorics of their decompositions has not been worked out. This paper re-interprets Kawanaka’s definition in type A in a way that gives far more flexibility in com...

A result of Steinberg's on the existence of rational regular unipotent elements in quasi-split simple algebraic groups over fields of arbitrary characteristic is partially extended to the case of non-quasi-split groups.

Uniformly describing the conjugacy classes of unipotent upper triangular groups \(\mathrm{UT}_{n}(\mathbb{F}_{q})\) (for all or many values \(n\) and \(q\)) is a nearly impossible task. This paper takes on related problem normal subgroups \(\mathrm{UT}_{n}(\mathbb{F}_{q})\). For \(q\) prime, bijection will be established between these pairs combinatorial objects with labels from \(\mathbb{F}_{q...