Maximum antichains in posets of quiver representations
Gellert F, Lampe P (2018)
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59(1): 1-20.
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Einrichtung
Abstract / Bemerkung
We study maximum antichains in two posets related to quiver representations.
Firstly, we consider the set of isomorphism classes of indecomposable
representations ordered by inclusion. For various orientations of the Dynkin
diagram of type A we construct a maximum antichain in the poset. Secondly, we
consider the set of subrepresentations of a given quiver representation, again
ordered by inclusion. It is a finite set if we restrict to linear
representations over finite fields or to representations with values in the
category of pointed sets. For particular situations we prove that this poset is
Sperner.
Erscheinungsjahr
2018
Zeitschriftentitel
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Band
59
Ausgabe
1
Seite(n)
1-20
Urheberrecht / Lizenzen
ISSN
0138-4821
Page URI
https://pub.uni-bielefeld.de/record/2909969
Zitieren
Gellert F, Lampe P. Maximum antichains in posets of quiver representations. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 2018;59(1):1-20.
Gellert, F., & Lampe, P. (2018). Maximum antichains in posets of quiver representations. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 59(1), 1-20. doi:10.1007/s13366-017-0359-1
Gellert, Florian, and Lampe, Philipp. 2018. “Maximum antichains in posets of quiver representations”. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59 (1): 1-20.
Gellert, F., and Lampe, P. (2018). Maximum antichains in posets of quiver representations. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59, 1-20.
Gellert, F., & Lampe, P., 2018. Maximum antichains in posets of quiver representations. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 59(1), p 1-20.
F. Gellert and P. Lampe, “Maximum antichains in posets of quiver representations”, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, vol. 59, 2018, pp. 1-20.
Gellert, F., Lampe, P.: Maximum antichains in posets of quiver representations. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 59, 1-20 (2018).
Gellert, Florian, and Lampe, Philipp. “Maximum antichains in posets of quiver representations”. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 59.1 (2018): 1-20.
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