Combinatorics of q-Characters of Finite-Dimensional Representations of Quantum Affine Algebras [PDF]
, 2001 Edward Frenkel, E. Mukhin
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Operads in algebraic combinatorics
, 2017 The main ideas developed in this habilitation thesis consist in endowing combinatorial objects (words, permutations, trees, Young tableaux, etc.) with operations in order to construct algebraic structures. This process allows, by studying algebraically the structures thus obtained (changes of bases, generating sets, presentations, morphisms ...
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Topology of quasi divisor graphs associated with non-associative algebra
Ain Shams Engineering JournalThe visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem +4 more
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Representations of Quantum Algebras and Combinatorics of Young Tableaux [PDF]
, 2002 Susumu Ariki
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Some applications of algebra to combinatorics
Discrete Applied Mathematics, 1991 The author gives a very interesting survey of the application of algebraic methods in combinatorics, in the setting of (graded) partially ordered sets and lattices. Major themes are provided by the Sperner property, rank symmetry and rank unimodality. The algebraic methods employed range from linear algebra via group actions to Lie algebras.
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Néel probability and spin correlations in some nonmagnetic and nondegenerate states of the hexanuclear antiferromagnetic ring
, 2002 Wojciech Florek, Sylwia Bucikiewicz
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Delta-groupoids in knot theory
, 2009 A Delta-groupoid is an algebraic structure which axiomitizes the combinatorics of a truncated tetrahedron. It is shown that there are relations of Delta-groupoids to rings, group pairs, and (ideal) triangulations of three-manifolds.
Kashaev, R. M.
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Relative rank and regularization
Forum of Mathematics, SigmaWe introduce a new concept of rank – relative rank associated to a filtered collection of polynomials. When the filtration is trivial, our relative rank coincides with Schmidt rank (also called strength).
Amichai Lampert, Tamar Ziegler
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Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Order (Dordr), 2023 Couceiro M, Duffus D.
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Computational complexity in algebraic combinatorics
Current Developments in MathematicsNotes associated with the Current Developments in Mathematics 2023 ...
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