QUASI-HEREDITARY ALGEBRAS ASSOCIATED WITH UPPER TRIANGULAR BIMODULES

DOI10.1081/AGB-100105040zbMath1036.16006MaRDI QIDQ2746632

Bangming Deng

Publication date: 9 March 2004

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

bimodulesquasi-hereditary algebrasendomorphism algebrascharacteristic tilting modulesprojective generatorsRingel dualsindecomposable projectivescategories of matrices

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Bimodules in associative algebras (16D20)

Related Items (3)

\(\Delta\)-tame quasi-hereditary algebras. ⋮ Tilting Modules Over Quasi-Hereditary Nakayama Algebras^# ⋮ Quasi-hereditary algebras, exact Borel subalgebras, \(A_\infty\)-categories and boxes.

Cites Work

• A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical
• The \(\Delta\)-filtered modules without self-extensions for the Auslander algebra of \(k[T/\langle T^n\rangle\)]
• The Bruhat-Chevalley order of parabolic group actions in general linear groups and degeneration for \(\Delta\)-filtered modules
• Finite, tame, and wild actions of parabolic subgroups in \(\text{GL}(V)\) on certain unipotent subgroups
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• On parabolic subgroups of classical groups with a finite number of orbits on the unipotent radial

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