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Triangular matrix algebras over quasi-hereditary algebras
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Some problems concerning quasi-hereditary algebras
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Quasi-Hereditary Extension Algebras
Algebras and Representation Theory, 2003Quasi-hereditary algebras \(A\) have finite global dimension. Thus their `homological dual', that is, the Yoneda extension algebra of the sum \(L\) of simple modules, \(B=\text{Ext}^*_A(L,L)\), again is a finite dimensional algebra. In some of the most prominent classes of quasi-hereditary algebras, such as Schur algebras or blocks of category ...
Ágoston, István +2 more
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Quasi-Hereditary Endomorphism Algebras
Canadian Mathematical Bulletin, 1995AbstractQuasi-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.
Dlab, V., Heath, P., Marko, F.
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Quasi-hereditary slim cyclotomic q-Schur algebras
Journal of Pure and Applied Algebra, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deng, Bangming, Yang, Guiyu
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Δ-tame quasi-hereditary algebras
Science in China Series A: Mathematics, 2007Let (K, M, H) be an upper triangular biomodule problem. Brustle and Hille showed that the opposite algebra A of the endomorphism algebra of a projective generator P of the matrices category of (K, M, H) is quasi-hereditary, and there is an equivalence between the category of Δ-good modules of A and Mat(K, M). In this note, based on the tame theorem for
Yun-ge Xu, Ying-bo Zhang
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