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pro vyhledávání: '"Oppermann, Steffen"'
Happel and Seidel gave a classification of piecewise hereditary Nakayama algebras, where the relations are given by some power of the radical. Here we explore what happens for general relations. We develop techniques for showing that a given algebra
Externí odkaz:
http://arxiv.org/abs/2310.08346
Autor:
Oppermann, Steffen, Thomas, Hugh
We show that the index in higher-dimensional cluster categories mutates according to a higher-dimensional version of tropical coefficient dynamics.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/2304.13762
Publikováno v:
Advances in Mathematics, Volume 451, August 2024, 109780
A significant part of modern topological data analysis is concerned with the design and study of algebraic invariants of poset representations -- often referred to as multi-parameter persistence modules. One such invariant is the minimal rank decompo
Externí odkaz:
http://arxiv.org/abs/2208.00300
Publikováno v:
In Journal of Algebra 15 December 2024 660:852-881
Publikováno v:
In Advances in Mathematics August 2024 451
In this paper, we introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart in one-para
Externí odkaz:
http://arxiv.org/abs/2107.06800
A successful theme in the development of triangulated categories has been the study of compact objects. A weak dual notion called 0-cocompact objects was introduced in arXiv:1801.07995, motivated by the fact that sets of such objects cogenerate co-t-
Externí odkaz:
http://arxiv.org/abs/2104.12498
Publikováno v:
Adv. Math. 369 (2020), 107171
We give a full classification of representation types of the subcategories of representations of an $m \times n$ rectangular grid with monomorphisms (dually, epimorphisms) in one or both directions, which appear naturally in the context of clustering
Externí odkaz:
http://arxiv.org/abs/1904.07322
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We investigate the behavior of singularity categories and stable categories of Gorenstein projective modules along a morphism of rings. The natural context to approach the problem is via change of rings, that is, the classical adjoint triple between
Externí odkaz:
http://arxiv.org/abs/1801.07995