In this paper, we construct unipotent representations for the real orthogonal groups and the metaplectic groups in the sense of Vogan.

purpose: to report an extremely rare presentation of isolated orbital xanthogranuloma with no systemic disease, nor dermatologic manifestation. case report: the patient was a 45-year-old man complaining of a mass lesion in the superior and inferior eyelids of his right eye; the lesions had been enlarging slowly and painlessly since 5 years before. other examinations (including skin, heart, etc....

Let G be a connected, reductive group over an algebraically closed field of good characteristic. For u ∈ G unipotent, we describe the conjugacy classes in the component group A(u) of the centralizer of u. Our results extend work of the second author done for simple, adjoint G over the complex numbers. When G is simple and adjoint, the previous work of the second author makes our description com...

Let k be an algebraically closed field of characteristic p > 0. The purpose of this paper is to describe the Hopf algebra of a finite commutative infinitesimal unipotent k-group scheme which is uniserial, i.e., which has a unique composition series. As there is only one simple finite commutative infinitesimal unipotent group scheme (namely αp := ker {F : Ga → Ga} , with Ga being the additive gr...

To Charlie Curtis Contents 0. Introduction 1. Notation, prerequisites and complements A. Generic nite reductive groups Usual invariants of a generic nite reductive group Class functions on G d{split Levi subgroups B. Generic characters Some consequences of Lusztig's results Generic unipotent characters, uniform functions The generic Deligne{Lusztig induction and restriction 2. d{cuspidality and...