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Title: Extension Quiver for Lie Superalgebra q(3)
We describe all blocks of the category of finite-dimensional q(3)-supermodules by providing their extension quivers. We also obtain two general results about the representation of q(n): we show that the Ext quiver of the standard block of q(n) is obtained from the principal block of q(n-1) by identifying certain vertices of the quiver and prove a virtual BGG-reciprocity for q(n). The latter result is used to compute the radical filtrations of q(3) projective covers.  more » « less
Award ID(s):
2001191
PAR ID:
10240296
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Symmetry, Integrability and Geometry: Methods and Applications
ISSN:
1815-0659
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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