Combinatorics of X-variables in finite type cluster algebras

Journal of Combinatorial Theory, Series A - Tập 165 - Trang 273-298 - 2019
Melissa Sherman-Bennett1
1Department of Mathematics, University of California Berkeley, Berkeley, CA, United States of America

Tài liệu tham khảo

Berenstein, 1996, Parametrizations of canonical bases and totally positive matrices, Adv. Math., 122, 49, 10.1006/aima.1996.0057 Bourbaki, 2008 Fock, 2009, Cluster ensembles, quantization and the dilogarithm, Ann. Sci. Éc. Norm. Supér. (4), 42, 865, 10.24033/asens.2112 Fomin, 2008, Cluster algebras and triangulated surfaces. I. Cluster complexes, Acta Math., 201, 83, 10.1007/s11511-008-0030-7 Fomin, 2017 Fomin, 2002, Cluster algebras. I. Foundations, J. Amer. Math. Soc., 15, 497, 10.1090/S0894-0347-01-00385-X Fomin, 2003, Cluster algebras. II. Finite type classification, Invent. Math., 154, 63, 10.1007/s00222-003-0302-y Fomin, 2007, Cluster algebras. IV. Coefficients, Compos. Math., 143, 112, 10.1112/S0010437X06002521 Gekhtman, 2003, Cluster algebras and Poisson geometry, Mosc. Math. J., 3, 899, 10.17323/1609-4514-2003-3-3-899-934 Golden, 2014, Motivic amplitudes and cluster coordinates, Journal of High Energy Physics, 2014, 10.1007/JHEP01(2014)091 Gross, 2018, Canonical bases for cluster algebras, J. Amer. Math. Soc., 31, 497, 10.1090/jams/890 D. Parker, Cluster Algebra Structures for Scattering Amplitudes in N=4 Super Yang-Mills, unpublished undergraduate thesis, 2015. A. Scherlis, Triangulations, Polylogarithms, and Grassmannian Cluster Algebras in Particle Physics, unpublished undergraduate thesis, 2015. Seven, 2015, Cluster algebras and symmetric matrices, Proc. Amer. Math. Soc., 143, 469, 10.1090/S0002-9939-2014-12252-0 Speyer, 2013, Acyclic cluster algebras revisited, vol. 8, 275