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SUMMARY:Uniqueness of Regular Exact Borel Subalgebras - Anna Rodriguez Ras
 mussen (Uppsala University)
DTSTART:20240611T133000Z
DTEND:20240611T140000Z
UID:TALK217774@talks.cam.ac.uk
DESCRIPTION:Let B be a finite-dimensional algebra over an algebraically cl
 osed field. Keller's reconstruction theorem states that the category of B-
 modules can be reconstructed from the Ext-algebra of the simple B-modules\
 , viewed as an A-infinity algebra. Similarly\, if A is a quasi-hereditary 
 algebra\, so that A-mod is a highest weight category\, then the Ext-algebr
 a of the standard modules\, viewed as an A-infinity algebra\, can be used 
 to reconstruct the category of standardly filtered A-modules. In 2014\, K&
 uuml\;lshammer\, K&ouml\;nig and Ovsienko used this to show an existence r
 esult for regular exact Borel subalgebras\, i.e. certain subalgebras of qu
 asi-hereditary algebras which mimic Borel subalgebras of Lie algebras. Lat
 er\, certain uniqueness results for regular exact Borel subalgebras were e
 stablished by Conde and K&uuml\;lshammer-Miemietz. In this talk\, I will p
 resent a slightly stronger uniqueness result for regular exact Borel subal
 gebras.
LOCATION:External
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