Zobrazeno 1 - 10
of 32
pro vyhledávání: '"de la Pena, Jose Antonio"'
Publikováno v:
In Linear Algebra and Its Applications 15 September 2021 625:171-195
Autor:
de la Peña, José-Antonio
Let $A$ be a finite dimensional algebra over an algebraically closed field $k$. Assume $A$ is a basic connected and triangular algebra with $n$ pairwise non-isomorphic simple modules. We consider the {\em Coxeter transformation} $\phi_A(T)$ as the au
Externí odkaz:
http://arxiv.org/abs/1310.1910
Autor:
de la Peña, Jose-Antonio
Let A be a finite dimensional algebra over an algebraically closed field k. Assume A is basic connected with n pairwise non-isomorphic simplemodules. We consider the Coxeter transformation ?A as the automorphism of the Grothendieck group K0(A) induce
Externí odkaz:
http://arxiv.org/abs/1310.1557
Publikováno v:
Journal of Pure and Applied Algebra 219 (2015), no. 5, 1761--1799
We solve a long standing open problem concerning the structure of finite cycles in the category mod A of finitely generated modules over an arbitrary artin algebra A, that is, the chains of homomorphisms $M_0 \stackrel{f_1}{\rightarrow} M_1 \to \cdot
Externí odkaz:
http://arxiv.org/abs/1306.0929
We give a summary on spectral techniques for finite dimensional algebras and study its link to singularity theory. In particular, we offer a contribution to the categorification of the Milnor lattice of two-dimensional singularities through triangula
Externí odkaz:
http://arxiv.org/abs/0805.1018
Publikováno v:
J. Algebra 321 (2009), 3816-3826
Coverings in the representation theory of algebras were introduced for the Auslander-Reiten quiver of a representation finite algebra by Riedtmann and later for finite dimensional algebras by Bongartz and Gabriel, R. Martinez-Villa and de la Pe\~na.
Externí odkaz:
http://arxiv.org/abs/0803.4442
We introduce a new class of finite dimensional algebras, called extended canonical, investigate their derived categories and study the spectral behavior of their Coxeter transformations. The subject relates to the triangulated categories of (graded)
Externí odkaz:
http://arxiv.org/abs/math/0611532
We investigate the spectral properties of a new class of finite dimensional algebras, called extended canonical. In particular, we show that at most four eigenvalues of the Coxeter transformation may lie outside the unit circle.
Comment: 13 page
Comment: 13 page
Externí odkaz:
http://arxiv.org/abs/math/0611535
Publikováno v:
In Linear Algebra and Its Applications 15 May 2018 545:32-54
Publikováno v:
Proceedings of the American Mathematical Society, 2001 May 01. 129(5), 1289-1297.
Externí odkaz:
https://www.jstor.org/stable/2668735