Geodesic
FROM COMPLETE TO PARTIAL FLAGS IN GEOMETRIC EXTENSION ALGEBRAS
Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 111-121

Voir la notice de l'article provenant de la source Cambridge

DOI

A geometric extension algebra is an extension algebra of a semi-simple perverse sheaf (allowing shifts), e.g., a push-forward of the constant sheaf under a projective map. Particular nice situations arise for collapsings of homogeneous vector bundles over homogeneous spaces. In this paper, we study the relationship between partial flag and complete flag cases. Our main result is that the locally finite modules over the geometric extension algebras are related by a recollement. As examples, we investigate parabolic affine nil Hecke algebras, geometric extension algebras associated with parabolic Springer maps and an example of Reineke of a parabolic quiver-graded Hecke algebra. 
SAUTER, JULIA. FROM COMPLETE TO PARTIAL FLAGS IN GEOMETRIC EXTENSION ALGEBRAS. Glasgow mathematical journal, Tome 60 (2018) no. 1, pp. 111-121. doi: 10.1017/S0017089516000598
@article{10_1017_S0017089516000598,
     author = {SAUTER, JULIA},
     title = {FROM {COMPLETE} {TO} {PARTIAL} {FLAGS} {IN} {GEOMETRIC} {EXTENSION} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {111--121},
     year = {2018},
     volume = {60},
     number = {1},
     doi = {10.1017/S0017089516000598},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000598/}
}
TY  - JOUR
AU  - SAUTER, JULIA
TI  - FROM COMPLETE TO PARTIAL FLAGS IN GEOMETRIC EXTENSION ALGEBRAS
JO  - Glasgow mathematical journal
PY  - 2018
SP  - 111
EP  - 121
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000598/
DO  - 10.1017/S0017089516000598
ID  - 10_1017_S0017089516000598
ER  - 
%0 Journal Article
%A SAUTER, JULIA
%T FROM COMPLETE TO PARTIAL FLAGS IN GEOMETRIC EXTENSION ALGEBRAS
%J Glasgow mathematical journal
%D 2018
%P 111-121
%V 60
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000598/
%R 10.1017/S0017089516000598
%F 10_1017_S0017089516000598

Cité par Sources :