Quick search Find article
Quick search
Find article

Universal Baxterization for \bb{Z} -graded Hopf algebras

FREE ARTICLE

K A Dancer, P E Finch and P S Isaac

Show affiliations


FAST TRACK COMMUNICATION

We present a method for Baxterizing solutions of the constant Yang–Baxter equation associated with \bb{Z} -graded Hopf algebras. To demonstrate the approach, we provide examples for the Taft algebras and the quantum group Uq[sl(2)].


PACS

02.10.-v Logic, set theory, and algebra

02.20.Uw Quantum groups

MSC

16W30 Coalgebras, bialgebras, Hopf algebras (See also 16S40, 57T05); rings, modules, etc. on which these act

Subjects

Mathematical physics

Dates

Issue 50 (14 December 2007)

Received 19 October 2007

Published 28 November 2007



  1. Universal Baxterization for \bb{Z} -graded Hopf algebras

    K A Dancer et al 2007 J. Phys. A: Math. Theor. 40 F1069

  2. Numerical methods for Hamiltonian PDEs

    Thomas J Bridges and Sebastian Reich 2006 J. Phys. A: Math. Gen. 39 5287

  3. Gas-Phase Water in the Surface Layer of Protoplanetary Disks

    C. Dominik et al 2005 ApJ 635 L85

  4. A valence force field for the silicon crystal

    S L Altmann et al 1982 J. Phys. C: Solid State Phys. 15 5581

  5. Dissociative recombination in e-H2+ collisions

    C Derkits et al 1979 J. Phys. B: At. Mol. Phys. 12 L529

  6. On static solutions in 2D dilaton gravity with scalar matter

    D Grumiller and D Mayerhofer 2004 Class. Quantum Grav. 21 5893

  7. 'Proper acceleration' of a null geodesic in curved spacetime

    Guihua Tian et al 2002 Class. Quantum Grav. 19 2777

  8. Spatial Correlation of Solar Wind Fluctuations and Their Solar Cycle Dependence

    R. T. Wicks et al. 2009 ApJ 690 734

  9. Removal of SU-8 photoresist using buckling-driven delamination assisted with a carbon dioxide snow jet for microfluidics fabrication

    Sheng-Chung Yang and Yu-Cheng Lin 2007 J. Micromech. Microeng. 17 2447

  10. First-order phase transition in a reaction–diffusion model with open boundary: the Yang–Lee theory approach

    Farhad H Jafarpour 2003 J. Phys. A: Math. Gen. 36 7497

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions

View by subject




Export






Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.