combinatorial Hopf algebra in nLab
combinatorial Hopf algebra in nLab
nLab combinatorial Hopf algebra ... Some Hopf algebras encode relevant combinatorial information and are quite common and useful in algebraic ...
Hopf algebras can be characterized among bialgebras by the fundamental theorem of Hopf modules: the category of Hopf modules over a bialgebra is ...
The last part is an introduction to the combinatorial ... algebraic envelope,. • a commutative Hopf algebra,. • an affine group scheme,.
Hopf algebras examples - MathOverflow
Symmetric functions, quasisymmetric functions, Connes-Kreimer algebra are all examples of combinatorial Hopf algebras. There are many more.
Monoidal Functors, Species and Hopf Algebras in nLab
Amer. Math. Soc. 2010. lii+784 pp. ... on monoidal functors, combinatorial species and Hopf algebras. 1. Related entries. Hopf monoid · partition.
This is the concept that generalizes Hopf algebras with their relation to groups from groups to groupoids. Specifically commutative Hopf ...
What is...a Hopf algebra? - YouTube
... nlab/show/Hopf+algebra https://mathworld.wolfram.com/HopfAlgebra.html https ... algebra #combinatorics #mathematics.
The resulting monoidal structure ⊗ ^ \hat\otimes on complete Hopf algebras is the cartesian monoidal structure, with the projection maps A ⊗ A ′ ...
Rigid Categories and Hopf Algebras
Tensor Categories. Mathematical Surveys and Monographs, Vol. 205. American Mathematical Society, Providence. [7] nLab. Braided Monoidal Category ...
This Week's Finds in Mathematical Physics (Week 276) - Welcome
Math. Soc. Japan 23 (1971), No.4, pp. 561–582. I started an entry on this construction in [[nlab:free Hopf algebra]]. This construction has ...
What are Quantum Groups? - hopf algebras - Math Stack Exchange
Unfortunately, there are no examples from physics. P.S.3: Looking around in the nLab to see what they have to say about Hopf algebras and ...
On Hopf (semi-)ring structure on the symmetric algebra of the sphere spectrum: Neil Strickland, Paul Turner, Rational Morava E E -theory and D ...
Tannakian formalism for topological Hopf algebras - MathOverflow
I believe the best answer to your question at the moment is in this paper (which only treats the case of bialgebras) ...
From combinatorics of universal problems to usual applications. - LIPN
https://ncatlab.org/nlab/show/state+on+a+star-algebra. 10. Hilbert module https ... Drinfel'd, On quasitriangular quasi-hopf algebra and a group closely ...
Quasitriangular Hopf algebra - Wikipedia
In mathematics, a Hopf algebra, H, is quasitriangular [1] if there exists an invertible element, R, of H ⊗ H
What is that thing that keeps showing in papers on different fields?
PS: The last diagrams you wrote down remind me a lot of Hopf algebras. ... Combinatorial Mathematics and its Applications and Spinors and ...
CCRT: Categorical and Combinatorial Representation Theory. - LIPN
Drinfel'd, On quasitriangular quasi-hopf algebra and a group closely ... https://ncatlab.org/nlab/show/augmented+algebra. [29] Coproduct of two non ...
Relative Hopf modules are an algebraic and possibly noncommutative analogue of a notion of an equivariant sheaf. 2. Definitions. Hopf modules.
The Status of Coalgebra | The n-Category Café
This link with combinatorics also comes up with Hopf algebras which are now occuring naturally in many combinatorial situations. See for ...
Coinductive guide to inductive transformer heads - arXiv
Combinatorial Hopf algebra is a Hopf algebra where the coproduct is ... [nca, ] Reconstruction theorem in nlab. [Aguiar and Lauve, 2013] ...