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- W2964221027 abstract "This thesis is investigative work into the properties of a recently de�ned family of graded algebras,which we call VV algebras. These algebras were de�ned by Varagnolo and Vasserot.We compare categories of modules over KLR algebras with categories of modules over VValgebras, establishing various Morita equivalences. Using these Morita equivalences we areable to prove several properties of certain classes of VV algebras such as a�ne cellularityand a�ne quasi-heredity. We also include a discussion about the problems encounteredwhen trying to de�ne �nite-dimensional quotients of these algebras. Finally, in certainsettings, we show how to de�ne these quotients and explain how they relate to cyclotomicKLR algebras." @default.
- W2964221027 created "2019-07-30" @default.
- W2964221027 creator A5023268947 @default.
- W2964221027 date "2019-03-02" @default.
- W2964221027 modified "2023-10-01" @default.
- W2964221027 title "On Morita Equivalences Between KLR Algebras and VV Algebras" @default.
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- W2964221027 doi "https://doi.org/10.1007/s10468-019-09865-9" @default.
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