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

先行

CMS Books in Mathematicshttp://image.papertrans.cn/q/image/781989.jpg

Adulate

https://doi.org/10.1007/978-3-319-09204-1Associative algebra; Auslander-Reiten theory; Gabriel‘s theorem; Module; Quiver representation; combinato

GRILL

laxative

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

Ingredient

Brochure

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

DAMP

Petechiae

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

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].