We define an inner product (suitably interpreted) on the K (n)-local spectrum LG:= L_ {K (n)}
BG_+, where G is a finite group or groupoid. This gives an inner product on E^* BG_+ for …

The objective of the present paper is to investigate the cohomology of certain irreducible (7-
linearized sheaves Jz? on G/P, G being the identity component of a classical Lie supergroup …

The Chern-Galois theory is developed for corings or coalgebras over noncommutative rings.
First the notion of an entwined extension as an extension of algebras within a bijective …

In the representation theory of a complex, semisimple Lie algebra g, a fundamental role is
played by the category 6, especially in the study of Verma modules. The category (9 …

In this dissertation, we investigate the cohomology theory of restricted Lie algebras.
Motivations for the definition of a restricted Lie algebra are given and the theory of ordinary …

Galois extensions as functors of comodules Page 1 manuscripta math. 59, 391 397 (1987)
manuscripta mathemati ca @ Springcr-Verlag 1987 GALOIS EXTENSIONS AS FUNCTORS OF …

606 A. BOREL the natural map H'(g, f; L2 (F\G)) oH*(dom) is an isomorphism. This is another
way to look at B, but it leads to a differenttype of generalization. The simplest way to get a …

Galois comodules of a coring are studied. The conditions for a simple comodule to be a
Galois comodule are found. A special class of Galois comodules termed principal …

an i; t- 0 } Page 1 SUR LA CLASSIFICATION DES MODULES ADMISSIBLES IRREDUCTIBLES
par Jacques CARMONA O. Introduction. 0.1. Etant donne un groupe de Lie semi-simple …