BAXTER ALGEBRAS, STIRLING NUMBERS AND PARTITIONS

DOI10.1142/S0219498805001083zbMath1147.16304arXivmath/0402348OpenAlexW2014577030MaRDI QIDQ5312878

Li Guo

Publication date: 25 August 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402348

zbMATH Keywords

Stirling numbersmultinomial coefficientsBaxter algebras

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (16)

Asymptotic Expansions for i.i.d. Sums Via Lower-order Convolutions ⋮ On integro-differential algebras. ⋮ FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES ⋮ Renormalization of multiple zeta values ⋮ Rota-Baxter algebras and dendriform algebras. ⋮ Generating functions from the viewpoint of Rota-Baxter algebras ⋮ Rota-Baxter operators on 4-dimensional complex simple associative algebras ⋮ On products and duality of binary, quadratic, regular operads ⋮ Enumeration and generating functions of Rota-Baxter words. ⋮ Mixable shuffles, quasi-shuffles and Hopf algebras. ⋮ On weak peak quasisymmetric functions ⋮ Operated semigroups, Motzkin paths and rooted trees ⋮ ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS ⋮ Differential algebraic Birkhoff decomposition and the renormalization of multiple zeta values ⋮ Characteristics of Rota–Baxter algebras ⋮ Structure Theorems of Mixable Shuffle Algebras

Cites Work

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• Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
• Baxter algebras and the umbral calculus

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