[QSMS Representation theory seminar-20240716] Highest weight categories and quasi-hereditary algebras

by qsms posted Jul 02, 2024
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일정시작 2024-07-16
일정종료 2024-07-18
배경색상 #77CC00
반복주기 2
반복단위 1.일(단위)
  • Date:  2024-07-16 (화요일) 10:30 ~ 12:00 

                      2024-07-18 (목요일) 10:30 ~ 12:00 

  • Place:  129동 301호 (서울대학교)
  • Speaker:  고한경 (Uppsala University)
  • Title:  Highest weight categories and quasi-hereditary algebras
  • Abstract:  Let A be a finite dimensional algebra and let A-mod be the category of finite dimensional A-modules. An additional structure on the algebra A often induces a structure on A-mod, and a property of A may imply a property of A-mod. Conversely, categorical structures and properties of A-mod gives structures and properties on the algebra A. In this lecture series, we consider the problem of translating between algebraic and categorical structures/properties, and we take the example of highest weight categories. Namely we will (after introducing their definitions and basics) explain the equivalence, due to Cline-Parshall-Scott, between a quasi-hereditary structure on an algebra A and a highest weight structure on A-mod. We also aim to discuss a generalization due to Kleshchev to a less finite algebra and less finite modules: the affine highest weight categories and affine quasi-hereditary algebras.

 

 

 

 


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