Bases and BGG resolutions of simple modules of Temperley-Lieb algebras of type B
Dimitris Michailidis
TL;DR
This paper constructs explicit bases and BGG resolutions for all simple modules of the graded Temperley-Lieb algebra of type B over a field of characteristic zero, advancing understanding of its module structure.
Contribution
It provides the first explicit bases and BGG resolutions for simple modules of the type B Temperley-Lieb algebra, a significant step in its representation theory.
Findings
Explicit bases for all simple modules constructed
BGG resolutions of simple modules provided
Enhanced understanding of module structure in type B
Abstract
We construct explicit bases of simple modules and Bernstein-Gelfand-Gelfand (BGG) resolutions of all simple modules of the (graded) Temperley-Lieb algebra of type B over a field of characteristic zero.
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