先行 发表于 2025-3-23 11:14:27
CMS Books in Mathematicshttp://image.papertrans.cn/q/image/781989.jpgAdulate 发表于 2025-3-23 14:07:59
https://doi.org/10.1007/978-3-319-09204-1Associative algebra; Auslander-Reiten theory; Gabriel‘s theorem; Module; Quiver representation; combinatoGRILL 发表于 2025-3-23 19:24:27
http://reply.papertrans.cn/79/7820/781989/781989_13.pnglaxative 发表于 2025-3-24 02:09:12
Projective and Injective RepresentationsProjective representations and injective representations are key concepts in representation theory. A representation . is called . if the functor Hom(., −) maps surjective morphisms to surjective morphisms. Dually a representation . is called . if the functor Hom(−, .) maps injective morphisms to injective morphisms.圆桶 发表于 2025-3-24 02:55:08
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Ralf SchifflerFirst textbook on representation theory which uses the quiver representations approach.Much shorter than other texts on the subject and is meant as a textbook for a one semester course.Explicit constrDAMP 发表于 2025-3-24 17:06:25
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Bound Quiver Algebrasalgebras play a central role in representation theory, since, for any finite-dimensional algebra . over an algebraically closed field ., the category mod . is equivalent to the category mod .∕., for some bound quiver algebra .∕..钻孔 发表于 2025-3-25 02:31:07
Quadratic Forms and Gabriel’s Theoremy if . is of Dynkin type . or .. The proof we are presenting uses the classification of positive definite integral quadratic forms associated to graphs and also a little algebraic geometry. For a different proof, using tilting theory, see .