The Bernstein-Gelfand-Gelfand complex for the groups Sp(n,1) and F4(−20) as a Kasparov module

We obtain as Corollary 9.4, that any two nonnegative Z -gradings on the endomorphism ring of a projective generator of a block of category O , which are compatible with the action

We generalize their result to arbitrary H, leading to the astonishing observation that if a covariant graded Hom functor commutes with some coarsening functor with infinite kernel

Stability of representation with respect to increasing lim- its of Newtonian and Riesz potentials is established in ([16], Theorem 1.26, Theorem 3.9).. Convergence properties

Bounded cohomology, classifying spaces, flat bundles, Lie groups, subgroup distortion, stable commutator length, word metrics.. The authors are grateful to the ETH Z¨ urich, the MSRI

We denote by ( n ) n∈ Z the canonical Hilbertian Hermitian orthogonal basis of H (i.e. n is the sequence which vanishes for all relative integer, excepted for n, for which it takes

A third class of examples is given in [BGG] where the category (9 of certain infinite dimensional representations of a complex semi-simple Lie algebra is constructed.. In all

In this paper we show that just as in the case of finite field ([15]), this representation is without multiplicity.. In the non-archimedean case, this result

the extension groups Extk(· , ·) relative to C are thereby defined. Let 6g denote the subcategory of C of all modules annihilated by a power of this maximal