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Braided cofree Hopf algebras and quantum multi-brace algebras
-
Run-Qiang Jian
und
Marc Rosso
Veröffentlicht/Copyright:
2. August 2011
Abstract
We give a systematic construction of Hopf algebra structures on braided cofree coalgebras. The relevant underlying structures are braided algebras and braided coalgebras. We provide some interesting examples of these algebras and coalgebras related to quantum groups. We introduce quantum multi-brace algebras which are generalizations of both braided algebras and B∞-algebras, as the natural framework. This new subject enables one to quantize some important algebra structures in a uniform way. Particular interesting examples are quantum quasi-shuffle algebras.
Received: 2010-11-08
Revised: 2011-02-14
Published Online: 2011-08-02
Published in Print: 2012-06
©[2012] by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Diffusion determines the manifold
- Semicomplete meromorphic vector fields on complex surfaces
- Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
- Almost prime Pythagorean triples in thin orbits
- Hessian inequalities and the fractional Laplacian
- Connected sums of Gorenstein local rings
- The restricted Weyl group of the Cuntz algebra and shift endomorphisms
- Braided cofree Hopf algebras and quantum multi-brace algebras
- Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds
Artikel in diesem Heft
- Diffusion determines the manifold
- Semicomplete meromorphic vector fields on complex surfaces
- Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
- Almost prime Pythagorean triples in thin orbits
- Hessian inequalities and the fractional Laplacian
- Connected sums of Gorenstein local rings
- The restricted Weyl group of the Cuntz algebra and shift endomorphisms
- Braided cofree Hopf algebras and quantum multi-brace algebras
- Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds
