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- W4292290346 abstract "Our principal goal in this overview is to explain and motivate the concept of a phantom in the representation theory of a finite dimensional algebra $Lambda$. In particular, we exhibit the key role of phantoms towards understanding how a full subcategory $cal A$ of the category $Lambdatext{-mod}$ of all finitely generated left $Lambda$-modules is embedded into $Lambdatext{-mod}$, in terms of maps leaving or entering $cal A$. Contents: 1. Introduction and prerequisites; 2. Contravariant finiteness and first examples; 3. Homological importance of contravariant finiteness and a model application of the theory; 4. Phantoms. Definitions, existence, and basic properties; 5. An application: Phantoms over string algebras." @default.
- W4292290346 created "2022-08-19" @default.
- W4292290346 creator A5055240273 @default.
- W4292290346 date "2014-07-09" @default.
- W4292290346 modified "2023-09-29" @default.
- W4292290346 title "The phantom menace in representation theory" @default.
- W4292290346 doi "https://doi.org/10.48550/arxiv.1407.2354" @default.
- W4292290346 hasPublicationYear "2014" @default.
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