The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations

DOI10.1016/J.JPAA.2023.107349OpenAlexW4319763935MaRDI QIDQ2699433

Zhengwei Liu, Adrian Ocneanu, William Norledge

Publication date: 26 April 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03243

zbMATH Keywords

speciesaxiomatic quantum field theoryLie elementgeneralized retarded functionrestricted all-subset arrangementSteinmann relations

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Quantum field theory on curved space or space-time backgrounds (81T20) Reflection groups, reflection geometries (51F15) Species, Hopf monoids, operads in combinatorics (18M80)

Cites Work

• Hurwitz theory and the double ramification cycle
• Trees
• Ranking patterns of unfolding models of codimension one
• Wall crossings for double Hurwitz numbers
• Une théorie combinatoire des séries formelles
• The equivalence of certain categories of twisted Lie and Hopf algebras over a commutative ring
• Root cones and the resonance arrangement
• Boolean product polynomials and Schur-positivity
• Monoidal Functors, Species and Hopf Algebras
• Hopf monoids in the category of species
• Connection between wightman functions and green functions inp-space
• Topics in Hyperplane Arrangements
• Arrangements stable under the Coxeter groups
• Bimonoids for Hyperplane Arrangements
• Hopf Algebras of Combinatorial Structures
• Algebraic Operads
• Computing reflection length in an affine Coxeter group
• Hopf monoids, permutohedral cones, and generalized retarded functions
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