Results 81 to 90 of about 7,293 (133)
A combinatorial Hopf algebra on partition diagrams
Communications in AlgebraWe introduce a Combinatorial Hopf Algebra (CHA) with bases indexed by the partition diagrams indexing the bases for partition algebras. By analogy with the operation $H_α H_β = H_{α\cdot β}$ for the complete homogeneous basis of the CHA $ \textsf{NSym}$ given by concatenating compositions $α$ and $β$, we mimic this multiplication rule by setting ...
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Translations of rough paths in combinatorial Hopf algebras
, 2021 We generalize Bruned et.al.'s notion of translation in geometric and branched rough paths to a notion of translation in rough paths over any combinatorial Hopf algebra. We show that this notion of translation is equivalent to two bialgebras being in cointeraction, subject to certain additional conditions.
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Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebras
Advances in Applied Mathematics, 2013 We describe a method for constructing characters of combinatorial Hopf algebras by means of integrals over certain polyhedral cones. This is based on ideas from resurgence theory, in particular on the construction of well-behaved averages induced by diffusion processes on the real line.
Menous, Frédéric +2 more
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Equivariant multiplicities via representations of quantum affine algebras. [PDF]
Sel Math New Ser, 2023 Casbi E, Li JR.
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Combinatorial Hopf species and algebras from preorder cuts
, 2023 We introduce new concepts and viewpoints on combinatorial Hopf species and algebras. We give a category ${\rm \bf set_{\mathbb{N}}}$ whose objects are sets, and (dualizable) morphisms represented by matrices of non-negative integers. For a bimonoid species $(B,Δ, μ)$ in ${\rm \bf set_{\mathbb{N}}}$ we may then dualize the product $μ$ to get two ...
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
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Operads for complex system design specification, analysis and synthesis. [PDF]
Proc Math Phys Eng Sci, 2021 Foley JD +3 more
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Quantum Grothendieck rings as quantum cluster algebras. [PDF]
J Lond Math Soc, 2021 Bittmann L.
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, 2013 Cette thèse se situe dans le domaine de la combinatoire algébrique. Autrement dit, l'idée est d'utiliser des structures algébriques, en l'occurence des algèbres de Hopf combinatoires, pour mieux étudier et comprendre les objets combinatoires ainsi que des algorithmes de composition et de décomposition agissant sur ces objets.
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Combinatorial Hopf algebra structure on packed square matrices
, 2013 35 ...
Cheballah, Hayat +2 more
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