57
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Construction of extended affine lie algebras by the twisting process

Pages 2753-2781 | Received 01 Sep 1998, Published online: 27 Jun 2007

References

  • Allison , B. , Azam , S. , Berman , S. and Gao , Y. 1997 . Extended affine Lie algebras and their root systems . Mem. Amer. Math. Soc , 603 : 1 – 122 .
  • Allison B. Gao Y. The root system and the core of an extended affine Lie algebra preprint
  • Azam , S. 1997 . “ Extended affine Lie algebras and extended affine Weyl groups ” . In Ph.D. Thesis , University of Saskatchewan .
  • Azam , S. 1997 . Nonreduced extended affine root systems of nullity 3 . Comm. Alg , 25 : 3617 – 3654 .
  • Azam , S. 1997 . Extended affine Weyl groups . J. Algebra , 25 to appear
  • Berman , S. , Gao , Y. and Krylyuk , Y. 1996 . Quantum tori and the structure of elliptic quasi-simple Lie algebras . J. Funct. Anal , 135 : 339 – 386 .
  • Berman , S. , Gao , Y. , Krylyuk , Y. and Neher , E. 1995 . The alternative torus and the structure of elliptic quasi-simple Lie algebras of type A2 . Trans. Amer. Math. Soc , 347 : 4315 – 4363 .
  • Høegh-Krohn , R. and Torresani , B. 1990 . Classification and construction of quasi-simple Lie algebras . J. Funct. Anal , 89 : 106 – 136 .
  • Gao , Y. 1998 . The degeneracy of extended affine Lie algebras . Manuscripta Mathematica , 97 : 233 – 249 .
  • Kac , V. 1990 . Infinite dimensional Lie algebras , Cambridge University Press .
  • Moody , R.V. and Pianzola , A. 1995 . Lie algebras with triangular decomposition , New York : John Wiley .
  • Pollmann , U. Realisation der biaffinen Wurzelsystem von Saito in Lie-algebren . Hamburger Beitrage Zum Kathematik aus dem Mathematischen Seminar . Heft. Vol. 29 ,
  • Saito , K. 1985 . Extended affine root systems 1 (Coxeter transformations) , Vol. 21 , 75 – 179 . RIMS., Kyoto Univ .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.