Výsledky vyhledávání - "[math.math-co] mathematics [math]/combinatorics [math.co]"

Combinatorial description of the cohomology of the affine flag variety Autor Lee, Seung Jin

“…We construct the affine version of the Fomin-Kirillov algebra, called the affine FK algebra, to investigatethe combinatorics of affine Schubert calculus for…”
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A bijection for nonorientable general maps Autor Bettinelli, Jérémie

“…We give a different presentation of a recent bijection due to Chapuy and Dołe ̨ga for nonorientable bipartite quadrangulations and we extend it to the case of…”
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Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions Autor Allen, Edward, Hallam, Joshua, Mason, Sarah

“…We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric func- tions are decomposed into Young quasisymmetric Schur…”
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Matrix-Ball Construction of affine Robinson-Schensted correspondence Autor Chmutov, Michael, Pylyavskyy, Pavlo, Yudovina, Elena

“…In his study of Kazhdan-Lusztig cells in affine type A, Shi has introduced an affine analog of Robinson- Schensted correspondence. We generalize the…”
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On the Boolean dimension of a graph and other related parameters Autor Pouzet, Maurice, Si Kaddour, Hamza, Thatte, Bhalchandra

“…We present the Boolean dimension of a graph, we relate it with the notions of inner, geometric and symplectic dimensions, and with the rank and minrank of a…”
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Rhombic alternative tableaux, assemblees of permutations, and the ASEP Autor Mandelshtam, Olya, Viennot, Xavier

“…In this paper, we introduce therhombic alternative tableaux, whose weight generating functions providecombinatorial formulae to compute the steady state…”
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Categorifying the tensor product of the Kirillov-Reshetikhin crystal B1,1 and a fundamental crystal Autor Kvinge, Henry, Vazirani, Monica

“…We use Khovanov-Lauda-Rouquier (KLR) algebras to categorify a crystal isomorphism between a funda-mental crystal and the tensor product of a…”
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Symmetric matrices, Catalan paths, and correlations Autor Tsukerman, Emmanuel, Williams, Lauren, Sturmfels, Bernd

“…Kenyon and Pemantle (2014) gave a formula for the entries of a square matrix in terms of connected principal and almost-principal minors. Each entry is an…”
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On (non-) freeness of some tridendriform algebras Autor Vong, Vincent

“…We present some results on the freeness or non freeness of some tridendriform algebras. In particular, we give a combinatorial proof of the freeness of WQSym,…”
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Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory Autor White, Jacob

“…We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these invariants arise naturally in Ehrhart theory, and that some…”
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Links in the complex of weakly separated collections Autor Oh, Suho, Speyer, David

“…Plabic graphs are combinatorial objects used to study the totally nonnegative Grassmannian. Faces of plabic graphs are labeled by k-element sets of positive…”
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Decomposition of the product of a monomial and a Demazure atom Autor Ying Pun, Anna

“…We prove that the product of a monomial and a Demazure atom is a positive sum of Demazure atoms combinatorially. This result proves one particular case in a…”
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Symmetric Chain Decompositions and the Strong Sperner Property for Noncrossing Partition Lattices Autor Mühle, Henri

“…We prove that the noncrossing partition lattices associated with the complex reflection groups G(d, d, n) for d, n ≥ 2 admit a decomposition into saturated…”
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Quasi-isomorphisms of cluster algebras and the combinatorics of webs (extended abstract) Autor Fraser, Chris

“…We provide bijections between the cluster variables (and clusters) in two families of cluster algebras which have received considerable attention. These…”
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Continued Classification of 3D Lattice Models in the Positive Octant Autor Bacher, Axel, Kauers, Manuel, Yatchak, Rika

“…We continue the investigations of lattice walks in the three-dimensional lattice restricted to the positive octant. We separate models which clearly have a…”
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Symmetric Fundamental Expansions to Schur Positivity Autor Roberts, Austin

“…We consider families of quasisymmetric functions with the property that if a symmetric function f is a positive sum of functions in one of these families, then…”
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GL(n, q)-analogues of factorization problems in the symmetric group Autor Lewis, Joel Brewster, Morales, Alejandro H.

“…We consider GLn (Fq)-analogues of certain factorization problems in the symmetric group Sn: ratherthan counting factorizations of the long cycle(1,2, . . . ,…”
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Slicings of parallelogram polyominoes, or how Baxter and Schröder can be reconciled Autor Bouvel, Mathilde, Guerrini, Veronica, Rinaldi, Simone

“…We provide a new succession rule (i.e. generating tree) associated with Schröder numbers, that interpolates between the known succession rules for Catalan and…”
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McKay Centralizer Algebras Autor Benkart, Georgia, Halverson, Tom

“…For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V⊗k) of G acting on the k-fold tensor product of its…”
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Rectangular Young tableaux and the Jacobi ensemble Autor Marchal, Philippe

“…It has been shown by Pittel and Romik that the random surface associated with a large rectangular Youngtableau converges to a deterministic limit. We study the…”
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