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Applications of Algebraic Combinatorics to Algebraic Geometry [PDF]
Indagationes Mathematicae, 2021 We formulate a number of new results in Algebraic Geometry and outline their derivation from Theorem 2.12 which belongs to Algebraic Combinatorics.
Tamar Ziegler, David Kazhdan
exaly +4 more sources
AppliedMathThis study investigates the relationship between sovereign credit rating transitions and domestic equity market performance, focusing on Greece from 2004 to 2024. Although credit ratings are central to sovereign risk assessment, their immediate influence
Georgios Angelidis
exaly +3 more sources
Nonrepetitive colorings of lexicographic product of graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Special issue PRIMA ...
Balázs Keszegh +2 more
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Two New Classes of Codebooks Asymptotically Achieving the Welch Bound
IEEE Access, 2021 Exponential sums over Galois rings have many applications in coding theory, cryptography and algebraic combinatorics. In this article, we employ additive characters and multiplicative characters over Galois rings to present two classes of codebooks, and ...
Shimin Sun, Li Han, Yang Yan, Yao Yao
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Avoider-enforcer star games [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Combinatorics
Andrzej Grzesik +5 more
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Rational smoothness and affine Schubert varieties of type A [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients ...
Sara Billey, Andrew Crites
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Schur-positivity via products of grid classes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Characterizing sets of permutations whose associated quasisymmetric function is symmetric and Schur- positive is a long-standing problem in algebraic combinatorics. In this paper we present a general method to construct Schur-positive sets and multisets,
Sergi Elizalde, Yuval Roichman
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On the Combinatorics of Gentle Algebras [PDF]
Canadian Journal of Mathematics, 2019 AbstractFor $A$ a gentle algebra, and $X$ and $Y$ string modules, we construct a combinatorial basis for $\operatorname{Hom}(X,\unicode[STIX]{x1D70F}Y)$. We use this to describe support $\unicode[STIX]{x1D70F}$-tilting modules for $A$. We give a combinatorial realization of maps in both directions realizing the bijection between support $\unicode[STIX]{
Brüstle, Thomas +4 more
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Hopf algebra of permutation pattern functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We study permutation patterns from an algebraic combinatorics point of view. Using analogues of the classical shuffle and infiltration products for word, we define two new Hopf algebras of permutations related to the notion of permutation pattern.
Yannic Vargas
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