scientific article

Publication date: 31 January 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

algebraic groups Hopf algebras coalgebras Lie groups bialgebras axioms quasi-symmetric functions historical

Symmetric functions and generalizations (05E05) History of mathematics in the 20th century (01A60) History of associative rings and algebras (16-03) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items

The eigenvalues of hyperoctahedral descent operators and applications to card-shuffling ⋮ Lie groups of controlled characters of combinatorial Hopf algebras ⋮ Time-warping invariants of multidimensional time series ⋮ Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations ⋮ The Moore Complex of a Simplicial Cocommutative Hopf Algebra ⋮ Explicit linearization of one-dimensional germs through tree-expansions ⋮ Pathlike co/bialgebras and their antipodes with applications to bi- and Hopf algebras appearing in topology, number theory and physics ⋮ Equivariant Hodge-Deligne polynomials of symmetric products of algebraic groups ⋮ Convolution bialgebra of a Lie groupoid and transversal distributions ⋮ The Sewing lemma for \(0 < \gamma \leq 1\) ⋮ SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra ⋮ The Euler characteristic of a transitive Lie algebroid ⋮ Hopf monoids, permutohedral cones, and generalized retarded functions ⋮ The depth structure of motivic multiple zeta values ⋮ Weak rigid monoidal category ⋮ Quasi‐shuffle algebras and renormalisation of rough differential equations ⋮ Monotone, free, and Boolean cumulants: a shuffle algebra approach ⋮ Algebraic and topological structures on rational tangles ⋮ Characteristic classes for cohomology of split Hopf algebra extensions ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Strong forms of linearization for Hopf monoids in species ⋮ Symmetril Moulds, Generic Group Schemes, Resummation of MZVs ⋮ Lie Theory for Quasi-Shuffle Bialgebras ⋮ Algebraic renormalisation of regularity structures ⋮ Character groups of Hopf algebras as infinite-dimensional Lie groups ⋮ Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms ⋮ Lie algebra type noncommutative phase spaces are Hopf algebroids ⋮ On the universal enveloping algebra of a Lie algebroid ⋮ An algebraic theory of order ⋮ Braces and Poisson additivity ⋮ Strong forms of self-duality for Hopf monoids in species ⋮ The stable symplectic category and a conjecture of Kontsevich ⋮ Generalised noncommutative geometry on finite groups and Hopf quivers ⋮ A configuration space for equivariant connective \(K\)-homology ⋮ Linear compactness and combinatorial bialgebras ⋮ Bialgebras for Stanley symmetric functions ⋮ Quasirationality and prounipotent crossed modules ⋮ Kindergarden quantum mechanics graduates \textit{...or how I learned to stop gluing LEGO together and love the ZX-calculus} ⋮ The inertia operator on the motivic Hall algebra ⋮ Invariant differential forms on complexes of graphs and Feynman integrals ⋮ An algebraic study of multivariable integration and linear substitution ⋮ A universal enveloping algebra for cocommutative rack bialgebras ⋮ Homotopy-theoretically enriched categories of noncommutative motives ⋮ A NATURAL EXTENSION OF THE CONFORMAL LORENTZ GROUP IN A FIELD THEORY CONTEXT ⋮ Almost linear Nash groups