BGG complexes in singular infinitesimal character for type A
Pavle Pandzic, Vladimir Soucek
TL;DR
This paper presents a geometric method to construct BGG resolutions in singular infinitesimal character specifically for 1-graded complex Lie algebras of type A, advancing the understanding of their representation theory.
Contribution
It introduces a novel geometric construction of BGG resolutions in singular infinitesimal character for type A Lie algebras, filling a gap in the existing theory.
Findings
Provides explicit geometric construction for BGG resolutions
Extends known results to singular infinitesimal characters
Enhances understanding of type A Lie algebra representations
Abstract
We give a geometric construction of the BGG resolutions in singular infinitesimal character in the case of 1-graded complex Lie algebras of type A.
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