Stratifying systems and \(g\)-vectors
DOI10.1016/j.jpaa.2022.107212OpenAlexW3216509718WikidataQ114155333 ScholiaQ114155333MaRDI QIDQ2079641
Corina Sáenz, Hipolito Treffinger, Octavio Mendoza
Publication date: 30 September 2022
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.11376
\(g\)-vectorsstratifying systems\(\tau\)-rigid modulesCartan matrices and groupsweakly triangular algebras
Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10) General module theory in associative algebras (16D10) Artinian rings and modules (associative rings and algebras) (16P20) Homological algebra in category theory, derived categories and functors (18Gxx)
Cites Work
- \(c\)-vectors via \(\tau\)-tilting theory
- \(\tau\)-tilting theory and \(\tau\)-slices
- Stratifying systems through \(\tau\)-tilting theory
- Modules determined by their composition factors
- Applications of stratifying systems to the finitistic dimension.
- Young modules and filtration multiplicities for Brauer algebras.
- Quadratic forms associated to stratifying systems.
- Almost split sequences in subcategories
- On sign-coherence of \(c\)-vectors
- Stratifying systems via relative simple modules.
- Wall and chamber structure for finite-dimensional algebras
- Homological systems in triangulated categories
- The size of a stratifying system can be arbitrarily large
- Extension Algebras of Standard Modules
- Relative theory in subcategories
- STRATIFYING SYSTEMS, FILTRATION MULTIPLICITIES AND SYMMETRIC GROUPS
- MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
- On Standardly Stratified Algebras
- A Category of Wide Subcategories
- STRATIFYING SYSTEMS FOR EXACT CATEGORIES
- $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
- Cokernels of the Cartan matrix and stratifying systems
- -tilting theory
- Stratifying Systems via Relative Projective Modules
- Unnamed Item
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