Zobrazeno 1 - 10
of 74
pro vyhledávání: '"THORSTEN HOLM"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
Frieze patterns, as introduced by Coxeter in the 1970s, are closely related to cluster algebras without coefficients. A suitable generalization of frieze patterns, linked to cluster algebras with coefficients, has only briefly appeared in an unpublis
Externí odkaz:
https://doaj.org/article/3f5404b7cd3148a19083cb215bc70446
Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This 2010 collection of survey articles, written by lea
Autor:
Michael Cuntz, Thorsten Holm
Publikováno v:
Algebraic Combinatorics. 4:741-755
Friezes with coefficients are maps assigning numbers to the edges and diagonals of a regular polygon such that all Ptolemy relations for crossing diagonals are satisfied. Among these, the classic Conway-Coxeter friezes are the ones where all values a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31bfdd6beb0227505e7afd7acf9d8104
https://doi.org/10.5802/alco.180
https://doi.org/10.5802/alco.180
The finite-dimensional symmetric algebras over an algebraically closed field, based on surface triangulations, motivated by the theory of cluster algebras, have been extensively investigated and applied. In particular, the weighted surface algebras a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9c051af90548b1490b1f30566447356
http://arxiv.org/abs/2006.13075
http://arxiv.org/abs/2006.13075
Autor:
Thorsten Holm
Publikováno v:
Modulare Arithmetik ISBN: 9783658319458
Ausgehend von den aus der Schule bekannten Rechenregeln fur den Zahlbereich der ganzen Zahlen wird das Thema Teilbarkeit ausfuhrlich behandelt. Der groste gemeinsame Teiler zweier ganzer Zahlen wird eingefuhrt und die Existenz gezeigt. Die grundlegen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f37b6cd1b7ef91b6964950eba2f40122
https://doi.org/10.1007/978-3-658-31946-5_1
https://doi.org/10.1007/978-3-658-31946-5_1
Autor:
Thorsten Holm
Publikováno v:
Modulare Arithmetik ISBN: 9783658319458
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17085be5903c5a0dcaa987fcaa30babc
https://doi.org/10.1007/978-3-658-31946-5_2
https://doi.org/10.1007/978-3-658-31946-5_2
Autor:
Thorsten Holm, Peter Jørgensen
Publikováno v:
International Mathematics Research Notices. 2020:71-90
Coxeter defined the notion of frieze pattern, and Conway and Coxeter proved that triangulations of polygons are in bijection with integral frieze patterns. We show a p-angulated generalisation involving nonintegral frieze patterns. We also show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df81067f65d8de5fbcb624ddc54bcb2e
https://doi.org/10.1093/imrn/rny020
https://doi.org/10.1093/imrn/rny020
Autor:
Thorsten Holm
Dieses essential bietet eine Einführung in die modulare Arithmetik, die mit wenig Vorkenntnissen zugänglich und mit vielen Beispielen illustriert ist. Ausgehend von den ganzen Zahlen und dem Begriff der Teilbarkeit werden neue Zahlbereiche bestehe
Autor:
Thorsten Holm, Peter Jørgensen
Publikováno v:
Bulletin des Sciences Mathématiques. 140:112-131
It is an important aspect of cluster theory that cluster categories are “categorifications” of cluster algebras. This is expressed formally by the (original) Caldero–Chapoton map X which sends certain objects of cluster categories to elements o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adf0df04f92c89a53a1135939cfccc84
https://doi.org/10.1016/j.bulsci.2015.05.001
https://doi.org/10.1016/j.bulsci.2015.05.001
Autor:
Thorsten Holm, Karin Erdmann
Publikováno v:
Springer Undergraduate Mathematics Series ISBN: 9783319919973
A quiver is a finite directed graph. The associated path algebra has all paths of the quiver as a basis, and the multiplication is defined in terms of concatenating paths when possible. We have seen representations of a quiver earlier, and we also ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77e2e6b4952a0dbf687d9e827efe21c2
https://doi.org/10.1007/978-3-319-91998-0_9
https://doi.org/10.1007/978-3-319-91998-0_9