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pro vyhledávání: '"Meur, Patrick Le"'
Autor:
Meur, Patrick Le
Publikováno v:
Q. J. Math. 71 (2020), no. 3, 1009-1047
Let R be the skew group algebra of a finite group acting on the path algebra of a quiver. This article develops both theoretical and practical methods to do computations in the Morita reduced algebra associated to R. Reiten and Riedtmann proved that
Externí odkaz:
http://arxiv.org/abs/1810.12612
Motivated by the study of (m,n)-quasitilted algebras, which are the piecewise hereditary algebras obtained from quasitilted algebras of global dimension two by a sequence of (co)tiltings involving n-1 tilting modules and m-1 cotilting modules, we int
Externí odkaz:
http://arxiv.org/abs/1709.07086
Autor:
Lambre, Thierry, Meur, Patrick Le
Publikováno v:
Pacific J. Math. 297 (2018) 405-454
Let (S,L) be a Lie-Rinehart algebra over a commutative ring R. This article proves that, if S is flat as an R-module and has Van den Bergh duality in dimension n, and if L is finitely generated and projective with constant rank d as an S-module, then
Externí odkaz:
http://arxiv.org/abs/1709.03973
The module category of any artin algebra is filtered by the powers of its radical, thus defining an associated graded category. As an extension of the degree of irreducible morphisms, this text introduces the degree of morphisms in the module categor
Externí odkaz:
http://arxiv.org/abs/1704.03933
Publikováno v:
Colloq. Math. 155, 2 (2018) 157--186
Let C be a finite dimensional algebra of global dimension at most two. A partial relation extension is any trivial extension of C by a direct summand of its relation C-C-bimodule. When C is a tilted algebra, this construction provides an intermediate
Externí odkaz:
http://arxiv.org/abs/1604.01269
Autor:
Meur, Patrick Le
Publikováno v:
J. Noncommut. Geom. 13 (2019), 887-961
Let H be a Hopf algebra and A be an H-module algebra. This article investigates when the smash product A#H is (skew) Calabi-Yau, has Van den Bergh duality or is Artin-Schelter regular or Gorenstein. In particular, if A and H are skew Calabi-Yau, then
Externí odkaz:
http://arxiv.org/abs/1512.01045
Publikováno v:
J. Pure Appl. Algebra 223 (2) (2019) 614--659
Given a finite dimensional algebra over a perfect field the text introduces covering functors over the mesh category of any modulated Auslander-Reiten component of the algebra. This is applied to study the composition of irreducible morphisms between
Externí odkaz:
http://arxiv.org/abs/1412.0188
Publikováno v:
Journal of Algebra 481 (2017), 36-67
Let T be a tilting object in a triangulated category equivalent to the bounded derived category of a hereditary abelian category with finite dimensional homomorphism spaces and split idempotents. This text investigates the strong global dimension, in
Externí odkaz:
http://arxiv.org/abs/1305.5213
Publikováno v:
Colloquium Mathematicum 125(2011), 83-98
Let $A$ be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of $A$ with coefficients in the bimodule $A$ vanishes if and only if $A$ is representation finite and simply connected (in th
Externí odkaz:
http://arxiv.org/abs/1107.5099
Autor:
Meur, Patrick Le
Publikováno v:
Journal of Pure and Applied Algebra 224 (10) (2020), 106394
Let a finite group G act on a differential graded algebra A. This article presents necessary conditions and sufficient conditions for the skew group algebra A*G to be Calabi-Yau. In particular, when A is the Ginzburg dg algebra of a quiver with an in
Externí odkaz:
http://arxiv.org/abs/1006.1082