Results 1 to 10 of about 3,905 (118)
1-quasi-hereditary algebras [PDF]
Journal of the London Mathematical Society, 2011 Motivated by the structure of the algebras associated to the blocks of the BGG-category O we define a subclass of quasi-hereditary algebras called 1-quasi-hereditary. Many properties of these algebras only depend on the defining partial order.
Pucinskaite, Daiva
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Quasi-hereditary twisted category algebras [PDF]
Journal of Algebra, 2013 We give a sufficient criterion for when a twisted finite category algebra over a field is quasi-hereditary, in terms of the partially ordered set of L-classes in the morphism set of the category.
Graham +15 more
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Singular curves and quasi-hereditary algebras [PDF]
International Mathematics Research Notices, 2016 In this article we construct a categorical resolution of singularities of an excellent reduced curve $X$, introducing a certain sheaf of orders on $X$. This categorical resolution is shown to be a recollement of the derived category of coherent sheaves ...
Burban, Igor +2 more
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Strongly quasi-hereditary algebras and rejective subcategories
Nagoya Mathematical Journal, 2018 Ringel's right-strongly quasi-hereditary algebras are a distinguished class of quasi-hereditary algebras of Cline-Parshall-Scott. We give characterizations of these algebras in terms of heredity chains and right rejective subcategories. We prove that any
Tsukamoto, Mayu
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Bases of quasi-hereditary covers of diagram algebras [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2012 We extend the the combinatorics of tableaux to the study of diagram algebras and give a uniform construction of their quasi-hereditary covers.Comment: Examples now include the classical Brauer, walled Brauer, and partition ...
C. BOWMAN, Cline, Henke, Rouquier
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Schurifying quasi‐hereditary algebras
Proceedings of the London Mathematical Society, 2022 We define and study new classes of quasi-hereditary and cellular algebras which generalize Turner's double algebras. Turner's algebras provide a local description of blocks of symmetric groups up to derived equivalence. Our general construction allows one to `schurify' any quasi-hereditary algebra $A$ to obtain a generalized Schur algebra $S^A(n,d ...
Kleshchev, Alexander, Muth, Robert
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Auslander Algebras as Quasi-Hereditary Algebras [PDF]
Journal of the London Mathematical Society, 1989 It was shown by the authors [Ill. J. Math. 33, No.2, 280-291 (1989; Zbl 0666.16014)] that a semiprimary ring of global dimension 2 is quasi- hereditary. This is the case in particular for the Auslander algebra of a representation-finite semiprimary ring.
Dlab, Vlastimil, Ringel, Claus Michael
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On quasi-hereditary algebras [PDF]
Bulletin des Sciences Mathématiques, 2019 12 ...
Green, Edward L., Schroll, Sibylle
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Based quasi-hereditary algebras
Journal of Algebra, 2020 A notion of a split quasi-hereditary algebra has been defined by Cline, Parshall and Scott. Du and Rui describe a based approach to split quasi-hereditary algebras. We develop this approach further to show that over a complete local Noetherian ring, one can achieve even stronger basis properties.
Kleshchev, Alexander, Muth, Robert
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Twisted split category algebras as quasi-hereditary algebras [PDF]
Archiv der Mathematik, 2012 11 pages. Added Section 4 on construction of standard modules.
Boltje, Robert, Danz, Susanne
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