scholarly journals Highest weight categories arising from Khovanov's diagram algebra IV: the general linear supergroup

2012 ◽  
pp. 373-419 ◽  
Author(s):  
Jonathan Brundan ◽  
Catharina Stroppel
Keyword(s):  
General Linear ◽  
Highest Weight ◽  
General Linear Supergroup ◽  
Highest Weight Categories ◽  
Diagram Algebra

Quasi-Hereditary Endomorphism Algebras

1995 ◽  
Vol 38 (4) ◽  
pp. 421-428 ◽  
Author(s):  
V. Dlab ◽  
P. Heath ◽  
F. Marko
Keyword(s):  
Lie Algebras ◽  
Algebraic Groups ◽  
Simple Complex ◽  
Highest Weight ◽  
Endomorphism Algebras ◽  
Hereditary Algebras ◽  
Highest Weight Categories

AbstractQuasi-hereditary algebras were introduced by Cline-Parshall-Scott (see [CPS] or [PS]) to deal with highest weight categories which occur in the study of semi-simple complex Lie algebras and algebraic groups. In fact, the quasi-hereditary algebras which appear in these applications enjoy a number of additional properties. The objective of this brief note is to describe a class of lean quasi-hereditary algebras [ADL] which possess such typical characteristics. A study of these questions originated in collaboration with C. M. Ringel (see [DR]).

scholarly journals Pseudocompact Algebras and Highest Weight Categories

2011 ◽  
Vol 16 (3) ◽  
pp. 689-728 ◽  
Author(s):  
Frantisek Marko ◽  
Alexandr N. Zubkov
Keyword(s):  
Highest Weight ◽  
Pseudocompact Algebras ◽  
Highest Weight Categories
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