Central-firing of type A2n with initial weight 0
| dc.contributor | Graduate Program in Mathematics. | |
| dc.contributor.advisor | Boysal, Arzu. | |
| dc.contributor.author | Cin, Uğur. | |
| dc.date.accessioned | 2023-03-16T11:21:48Z | |
| dc.date.available | 2023-03-16T11:21:48Z | |
| dc.date.issued | 2020. | |
| dc.description.abstract | In this thesis a variant of the chip- ring game introduced by Hopkins, McConville and Propp in [1], called the labeled chip- ring on Z, is studied. We will rst explore the basic properties and examples of this game. We will then show, how one can see this game as a binary relation on the weight lattice of Type A root system. It is then a natural step to generalize it to other root systems, which was done by Galashin, Hopkins, McConville and Postnikov in [2] and [3]. After reviewing the basics of central- ring introduced in these papers, we examine the central- ring of type A2n with initial weight 0 in Chapter 5. Finally, we study the restrictions in Lemma 12 of [1] in more detail, and conjecture that the number of permutations with maximum number of inversions allowed by this lemma is given by the Catalan numbers. | |
| dc.format.extent | 30 cm. | |
| dc.format.pages | ix, 34 leaves ; | |
| dc.identifier.other | MATH 2020 C56 | |
| dc.identifier.uri | https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15315 | |
| dc.publisher | Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2020. | |
| dc.subject.lcsh | Games. | |
| dc.title | Central-firing of type A2n with initial weight 0 |
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