Tilting Modules Over Quasi-Hereditary Nakayama Algebras#

DOI10.1080/00927870500242736zbMath1083.16008OpenAlexW2003356156MaRDI QIDQ5707940

Ronghua Tan, Steffen Koenig

Publication date: 25 November 2005

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

Full work available at URL: https://doi.org/10.1080/00927870500242736

zbMATH Keywords

tilting modulesquiversquasi-hereditary algebrasNakayama algebrasserial algebrasRingel dualities

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Cites Work

• Strong symmetry defined by twisting modules, applied to quasi-hereditary algebras with triangular decomposition and vanishing radical cube
• On tilting modules for algebraic groups
• A construction of characteristic tilting modules
• Characteristic tilting modules and Ringel duals
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• QUASI-HEREDITARY ALGEBRAS ASSOCIATED WITH UPPER TRIANGULAR BIMODULES
• Character formulas for tilting modules over Kac-Moody algebras
• Ringel duals of quasi-hereditary algebras

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