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Titlebook: Quiver Representations; Ralf Schiffler Textbook 2014 Springer International Publishing Switzerland 2014 Associative algebra.Auslander-Reit

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11#
發(fā)表于 2025-3-23 11:14:27 | 只看該作者
CMS Books in Mathematicshttp://image.papertrans.cn/q/image/781989.jpg
12#
發(fā)表于 2025-3-23 14:07:59 | 只看該作者
https://doi.org/10.1007/978-3-319-09204-1Associative algebra; Auslander-Reiten theory; Gabriel‘s theorem; Module; Quiver representation; combinato
13#
發(fā)表于 2025-3-23 19:24:27 | 只看該作者
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發(fā)表于 2025-3-24 02:09:12 | 只看該作者
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.
15#
發(fā)表于 2025-3-24 02:55:08 | 只看該作者
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發(fā)表于 2025-3-24 09:36:32 | 只看該作者
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發(fā)表于 2025-3-24 12:48:38 | 只看該作者
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 constr
18#
發(fā)表于 2025-3-24 17:06:25 | 只看該作者
19#
發(fā)表于 2025-3-24 20:52:31 | 只看該作者
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 .∕..
20#
發(fā)表于 2025-3-25 02:31:07 | 只看該作者
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 [8, VII.5].
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