THE DIRICHLET HOPF ALGEBRA OF ARITHMETICS
From MaRDI portal
Publication:5292244
DOI10.1142/S0218216507005269zbMath1124.16032arXivmath-ph/0511079OpenAlexW3100309912MaRDI QIDQ5292244
Bertfried Fauser, Peter D. Jarvis
Publication date: 20 June 2007
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0511079
coproductsHopf algebrasquantum field theoryrenormalizationsymmetric functionspairingsarithmetic functionsDirichlet convolutionantipodal convolutionsHopf gebras
Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Multiplicative number theory (11N99) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- The Burnside ring of profinite groups and the Witt vector construction
- Clifford and Graßmann Hopf algebras via the BIGEBRA package for Maple
- \(\lambda\)-rings and the representation theory of the symmetric group
- An analytic problem whose solution follows from a simple algebraic identity
- Renormalization as a functor on bialgebras
- Products, coproducts, and singular value decomposition
- Characteristic-free representation theory of the general linear group
- Schur functors and Schur complexes
- The Schur function realization of vertex operators
- On the Hopf algebra strucutre of perturbative quantum field theories
- A Hopf-algebra approach to inner plethysm
- Clifford Hopf-gebra and bi-universal Hopf-gebra
- Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
- Characteristic-free representation theory of the general linear group. II: Homological considerations
- Free Lie algebras and formal power series
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Mathematics of Clifford -- a Maple package for Clifford and Graßmann algebras
- On the structure of free Baxter algebras
- On the Hopf algebraic origin of Wick normal ordering
- Brownian Motion on a Smash Line
- A mad day’s work: from Grothendieck to Connes and Kontsevich The evolution of concepts of space and symmetry
- INVOLUTORY HOPF ALGEBRAS AND 3-MANIFOLD INVARIANTS
- New branching rules induced by plethysm
- Coalgebras and Bialgebras in Combinatorics
- Vertex operators and symmetric functions
- Baxter algebras and combinatorial identities. II
- On boson algebras as Hopf algebras
- Quantum field theory of partitions
- Plethystic Hopf algebras.
- Plethystic algebras and vector symmetric functions.
- Vertex operator realization of symplectic and orthogonalS-functions
- A Hopf laboratory for symmetric functions
- Quantum field theory and Hopf algebra cohomology
- Vertex operators and composite supersymmetric S-functions
- Baxter algebras and combinatorial identities. I
- Baxter algebras and the umbral calculus
