Adjoint functors on the representation category of \(\mathcal{OI}\)

DOI10.1007/s10468-022-10164-zarXiv2102.04638OpenAlexW4294725039MaRDI QIDQ6070286

Liping Li, Wee Liang Gan

Publication date: 20 November 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04638

zbMATH Keywords

adjoint functorsSerre quotientNakayama functorOI-modules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Special properties of functors (faithful, full, etc.) (18A22)

Cites Work

• FI-modules over Noetherian rings.
• On the negative-one shift functor for FI-modules
• Asymptotic behavior of representations of graded categories with inductive functors
• VI-modules in non-describing characteristic. II
• An inductive method for OI-modules
• VI-modules in nondescribing characteristic. I
• Standard stratifications of EI categories and Alperin's weight conjecture.
• Representations of categories and their applications
• Gröbner methods for representations of combinatorial categories
• Coinduction functor in representation stability theory
• An application of Nakayama functor in representation stability theory
• An inductive machinery for representations of categories with shift functors
• A generalized Koszul theory and its application
• Des catégories abéliennes
• The Representation Theory of the Increasing Monoid

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