Parabolic projective functors in type A
2016 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 301, 785-803 p.Article in journal (Refereed) Published
We classify projective functors on the regular block of Rocha-Caridi's parabolic version of the BGG category O in type A. In fact, we show that, in type A, the restriction of an indecomposable projective functor from O to the parabolic category is either indecomposable or zero. As a consequence, we obtain that projective functors on the parabolic category O in type A are completely determined, up to isomorphism, by the linear transformations they induce on the level of the Grothendieck group, which was conjectured by Stroppel in .
Place, publisher, year, edition, pages
2016. Vol. 301, 785-803 p.
Category O, Projective functor, Indecomposable object, Finitary 2-category, Cellular algebra
IdentifiersURN: urn:nbn:se:uu:diva-304135DOI: 10.1016/j.aim.2016.06.026ISI: 000382424900021OAI: oai:DiVA.org:uu-304135DiVA: diva2:1021261
FunderKnut and Alice Wallenberg FoundationSwedish Research Council