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Can I read Cyclic Sieving and Cluster Multicomplexes on EtoBox?
Cyclic Sieving and Cluster Multicomplexes by Brendon Rhoades is a Mathematics article available to read on EtoBox.
What is Cyclic Sieving and Cluster Multicomplexes about?
Reiner, Stanton and White (2004) [10] proved results regarding the enumeration of polygon dissections up to rotational symmetry. Eu and Fu (2008) [2] generalized these results to Cartan-Killing types other than A by means of actions of deformed Coxeter elements on cluster complexes of Fomin and Zelevinsky ( 2003) [6]. The Reiner-Stanton-White and Eu-Fu results were proven using direct counting arguments. We give representation theoretic proofs of closely related results using the notion of noncrossing and seminoncrossing tableaux due to Pylyavskyy (2009) [9] as well as some geometric realizations of finite type cluster algebras due to Fomin and Zelevinsky (2003) [5].
Who reads Cyclic Sieving and Cluster Multicomplexes?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Brendon Rhoades
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0196-8858)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)