… regular block of the Bernstein–Gelfand–Gelfand category |$\… step of a minimal projective
resolution for a translated simple … In type |$A$|⁠, all involutions are Duflo elements (this follows …

… their connection to Bernstein–Gelfand–Gelfand resolutions. … Write ρ for the half sum of the
positive roots, and W for the … of P Z , with compatible length function given by the restriction of ℓ, …

… Complex semisimple Lie algebras are direct sums of simple … a Duflo-Moore operator can
appear in the Plancherel formula … in the geometric BernsteinGelfand-Gelfand resolution of the …

… Associated to this triangular decomposition we have the Bernstein-Gelfand-Gelfand (BGG) …
On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Compositio Math. …

… the Bernstein-Gelfand-Gelfand complex and the Hopf trace … We introduce our candidate
Duflo-Moore operators for these … Note in addition that we can find a finite central projection p = …

… ∼ = θy−1 Ly, where d is the Duflo involution in the right cell of x, see [Ma10, Section 3]. Note
… On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Compositio Math. …

… equations by a rather technical case-by-cases analysis. … , where is half of the sum of all
positive roots. For w 2 W , we denote … We take H to be the Duflo 1-morphism in the right cell of G. …

… N (𝜁), and N (0)1 coincides with the Bernstein-Gelfand-Gelfand (BGG) category O. Therefore,
the … of O0 consisting of all modules that have 2-step resolutions by direct sums of projective …

… Consider the Bernstein-Gelfand-Gelfand (BGG) category O associated to this decomposition.
… 7.4, we give an explicit Z-graded description of composition factors of the tilting resolution …

… We denote by D the set of all Duflo elements in W. If x, y ∈ W … If we apply it to the direct
sum X of all θuLd′ , where u ∈ R… of ∇e, we need to glue minimal projective resolutions of all …