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Central-firing of type A2n with initial weight 0

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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.identifier.other MATH 2020 C56
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/15315
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.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
dc.format.pages ix, 34 leaves ;


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