Algebraic structure of some groups of recursive permutations by Kent, Clement Fisher, 1927-

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Unexpected Applications of Polynomials in Combinatorics by Guth, Lawrence

“…The most well-known of these problems is the distinct distance problem in the plane. Keywords: Algebraic Structure, Finite Field, Combinatorial Structure, Joint Problem, Partial Symmetry…”
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Multiplicative Structures on Algebraic K-Theory by Barwick, Clark, Barwick, Clark Edward

“…In particular, it respects all algebraic structures, and as a result, we obtain the Deligne Conjecture for this form of $K$-theory.…”
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POINTED HOPF ACTIONS ON CENTRAL SIMPLE DIVISION ALGEBRAS by ETINGOF, P., NEGRON, C.

“…(By a Hopf action we mean a Hopf module algebra structure.) In all examples considered, we show that the given Hopf algebra does admit a faithful action on a central simple division algebra, and we construct such a division algebra. …”
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Structure of classical (finite and affine) W-algebras by De Sole, Alberto, Kac, Victor, Valeri, Daniele

“…On the other hand, we produce an explicit set of generators and we derive an explicit formula for the Poisson vertex algebra structure of the classical affine W- Algebra W(g, f). …”
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Weak Separation, Pure Domains and Cluster Distance by Farber, Miriam, Galashin, Pavel

“…We apply our result to calculate the cluster distance and to give lower bounds on the mutation distance between cluster variables in the cluster algebra structure on the coordinate ring of the Grassmannian. …”
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Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type K by Bakalov, Bojko, D’Andrea, Alessandro, Kac, Victor

“…One of the algebraic structures that has emerged recently in the study of the operator product expansions of chiral fields in conformal field theory is that of a Lie conformal algebra. …”
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