Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Dieter Happel"'
Tilting theory originates in the representation theory of finite dimensional algebras. Today the subject is of much interest in various areas of mathematics, such as finite and algebraic group theory, commutative and non-commutative algebraic geometr
Autor:
Dieter Happel
This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras. In recent years representation theory has been an area of intense research and the author shows that derived categories
Autor:
Dieter Happel, Idun Reiten
Publikováno v:
Representations of Algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63a1217dd8f0dab4bb9e74e189cc153d
https://doi.org/10.1201/9780429187759-9
https://doi.org/10.1201/9780429187759-9
Autor:
Dan Zacharia, Dieter Happel
Publikováno v:
Proceedings of the American Mathematical Society. 141:3383-3390
Let P n \textbf {P}^n be the projective n n -space over the complex numbers. In this note we show that an indecomposable rigid coherent sheaf on P n \textbf {P}^n has a trivial endomorphism algebra. This generalizes a result of Drézet for n = 2. n=2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c6ed1e5771a9dca55b18232b09b638a
https://doi.org/10.1090/s0002-9939-2013-11305-5
https://doi.org/10.1090/s0002-9939-2013-11305-5
Autor:
Dan Zacharia, Dieter Happel
Publikováno v:
Journal of Algebra. 323:1139-1154
Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of the strong global dimension,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d534de0b44c44e76022756f1cd03db85
https://doi.org/10.1016/j.jalgebra.2009.11.020
https://doi.org/10.1016/j.jalgebra.2009.11.020
Publikováno v:
Oberwolfach Reports. :1319-1381
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bf8d3d8c63f442ae1eb60416774090f
https://doi.org/10.4171/owr/2010/22
https://doi.org/10.4171/owr/2010/22
Autor:
Dieter Happel, Edward L. Green
Publikováno v:
Algebras and Representation Theory. 14:497-513
Let \({{\mathcal G}}\) be a group, Λ a \({{\mathcal G}}\)-graded Artin algebra and gr(Λ) denote the category of finitely generated \({{\mathcal G}}\)-graded Λ-modules. This paper provides a framework that allows an extension of tilting theory to \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b73b15394c70ff5a198006d62cc3172e
https://doi.org/10.1007/s10468-009-9200-3
https://doi.org/10.1007/s10468-009-9200-3
Autor:
Uwe Seidel, Dieter Happel
Publikováno v:
Algebras and Representation Theory. 13:693-704
Let k be an algebraically closed field. Let Λ be the path algebra over k of the linearly oriented quiver \(\mathbb A_n\) for n ≥ 3. For r ≥ 2 and n > r we consider the finite dimensional k −algebra Λ(n,r) which is defined as the quotient alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db20e3b8bc476244a926a0ab4e20ae64
https://doi.org/10.1007/s10468-009-9169-y
https://doi.org/10.1007/s10468-009-9169-y
Autor:
Dieter Happel, Luise Unger
Publikováno v:
Algebras and Representation Theory. 13:637-652
For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we consider the quiver \({\overrightarrow{\mathcal K}\!_{\Lambda}}\) of tilting modules and the subquivers of \({\overrightarrow{\mathcal K}\!_{\Lambda}}\) wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8310390cf72c01d12c321bfd91c1596c
https://doi.org/10.1007/s10468-009-9164-3
https://doi.org/10.1007/s10468-009-9164-3
Autor:
Dieter Happel
Publikováno v:
Journal of Algebra. 321:2028-2041
Let Λ be a finite-dimensional algebra over an algebraically closed field k of finite global dimension. Let M be a finitely generated Λ-module and let Γ=Λ[M] be the one point extension algebra. We show how to compute the Coxeter polynomial for Γ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f13f0305e0097a618e21fe61180d540b
https://doi.org/10.1016/j.jalgebra.2009.01.017
https://doi.org/10.1016/j.jalgebra.2009.01.017