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Cluster algebras and snake modules

WebThe concept of weighted infinitesimal unitary bialgebra is an algebraic meaning of the nonhomogenous associative Yang–Baxter equation. In this paper, we equip the space of decorated planar rooted... WebMay 13, 2024 · Moreover, we give a combinatorial formula for the -polynomial of the generic kernel associated to the snake module. As an application, we show that snake modules correspond to cluster monomials with square free denominators and we show that snake modules are real modules.

Yanfeng LUO Professor (Full) PhD Lanzhou University, Lanzhou ...

WebMay 13, 2024 · Moreover, we give a combinatorial formula for the F ‐polynomial of the generic kernel associated to the snake module. As an application, we show that snake … WebKeywords: cluster algebras, continued fractions, snake graphs. The rst author was supported by EPSRC grant number EP/N005457/1 and by Durham University, and the ... Corollary6.11for a rst result), string modules and string objects in the module categories and cluster categories of triangulated marked surfaces [BZ11,QZ17,Lab16], … gnss cn値 https://pisciotto.net

Brauer configuration algebras defined by snake graphs and Kronecker modules

WebRepresentations of quantum affine algebras Snake modules The simple module L(Y i T;aqkT:::Y i 2;aqk2 Y i 1;aqk1) is called a snake module/prime snake module/minimal … WebMay 22, 2024 · As an application, we show that snake modules correspond to cluster monomials with square-free denominators and we show that snake modules are real … WebIn 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2024, Brito and Chari defined a family of modules over quantum affine algebras, called Hernandez-Leclerc modules. We characterize the highest $\ell$-weight monomials of Hernandez-Leclerc modules. bonaroo tattoo parker co

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Category:A geometric q -character formula for snake modules

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Cluster algebras and snake modules

Combinatorics of the q-characters of Hernandez-Leclerc modules

WebJul 17, 2024 · Snake graphs have also been used as a conceptual tool in the study of extension spaces in cluster categories and module categories of Jacobian algebras associated to surfaces without punctures in . Perfect matchings of certain graphs have also been used in [ 22 ] to give expansion formulas in the cluster algebra structure of the … WebFeb 1, 2024 · Abstract. Snake modules introduced by Mukhin and Young form a family of modules of quantum affine algebras. The aim of this paper is to prove that the …

Cluster algebras and snake modules

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WebAug 14, 2015 · Cluster algebras and snake modules @article{Duan2015ClusterAA, title={Cluster algebras and snake modules}, author={Bing Duan and Jian-Rong Li and Yanfeng Luo}, journal={Journal of Algebra}, year={2015} } B. Duan, Jian-Rong Li, Yanfeng Luo; Published 14 August 2015; Mathematics; Journal of Algebra

WebTropical Geometry, Quantum A ne Algebras, and Scattering Amplitudes Nick Early and Jian-Rong Li Abstract. The goal of this paper is to make a connection between tropical geometry, WebUsing cluster algebras, prime modules can be generated using a procedure called mutation. The prime modules generated in this way are cluster ... [39] that all snake modules of types A;Bare cluster monomials. Tropical Geometry, Quantum A ne Algebras, and Scattering Amplitudes 3 Recently, Lapid and Minguez [76] classi ed all real simple U

WebFeb 1, 2024 · Snake modules introduced by Mukhin and Young form a family of modules of quantum affine algebras. The aim of this paper is to prove that the … WebAug 14, 2015 · CLUSTER ALGEBRAS AND SNAKE MODULES. BING DUAN, JIA N-RONG LI, AND YAN-FENG LUO. Abstract. Snake modules are a family of modules of quantum affine algebras which w ere. …

WebJun 20, 2024 · Snake graphs have proven to be an important element in the understanding of surface cluster algebras, for example, in [33] snake graphs (and band graphs) were used to show that certain collections of loops and (generalised) arcs comprise vector space bases for surface cluster algebras. Snake graphs have also been instrumental in the …

WebCluster Algebras Seminar Projective dimension of modules over cluster-tilted algebras Ilke CanakÁi (University of Connecticut) 1/25/12 Cluster Algebras Seminar Algebras from surfaces Lucas David-Roesler (University of Connecticut) 2/1/12 Cluster Algebras Seminar Algebras from surfaces and derived equivalences bonar place edinburghWebWe also show that the cluster algebras of the category $\mathscr{C}_1$ are factorial for Dynkin types $\mathbb{A,D,E}$. ... As an application, we show that snake modules … gnss cn0WebJul 5, 2024 · Recently, Duan and Schiffler in [16] proved the geometric q-character formula for snake modules of types A n and B n , and characterized the general kernel … gnss coeWebMay 22, 2024 · In 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2024, Brito and … gnss cold startWeb20.I. Assem, R. Schi er and K. Serhiyenko, Modules over cluster-tilted algebras that do not lie on local slices, Archiv Math. 110, (2024) 9{18. ... C˘anak˘c and R. Schi er, Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings,_ Int. Math. Res. Not. rnx157 (2024) 1-82. bonaroo tattoo websiteWebSep 1, 2024 · The notion of cluster algebras was introduced by Fomin and Zelevinsky [15] ... [28] gave an explicit path description of q-characters for snake modules of types A n and B n. Brito and Mukhin [3] extended Mukhin-Young's methods to q-characters of extended-snake modules of type B n. gnss clas 受信機WebSep 20, 2024 · Abstract. In 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2024, Brito and … bonaro w. overstreet