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The cyclic sieving ...
The cyclic sieving phenomenon on circular Dyck paths
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- Alexandersson, Per (författare)
- Stockholms universitet,Matematiska institutionen,Stockholm Univ, Dept Math, Stockholm, Sweden.
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- Linusson, Svante (författare)
- KTH,Matematik (Avd.)
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- Potka, Samu (författare)
- KTH,Matematik (Avd.)
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(creator_code:org_t)
- 2019-10-11
- 2019
- Engelska.
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Ingår i: The Electronic Journal of Combinatorics. - : ELECTRONIC JOURNAL OF COMBINATORICS. - 1097-1440 .- 1077-8926. ; 26:4
- Relaterad länk:
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https://www.combinat...
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https://urn.kb.se/re...
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https://doi.org/10.3...
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Abstract
Ämnesord
Stäng
- We give a q-enumeration of circular Dyck paths, which is a superset of the classical Dyck paths enumerated by the Catalan numbers. These objects have recently been studied by Alexandersson and Panova. Furthermore, we show that this q-analogue exhibits the cyclic sieving phenomenon under a natural action of the cyclic group. The enumeration and cyclic sieving is generalized to Mobius paths. We also discuss properties of a generalization of cyclic sieving, which we call subset cyclic sieving, and introduce the notion of Lyndon-like cyclic sieving that concerns special recursive properties of combinatorial objects exhibiting the cyclic sieving phenomenon.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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