Extended Affine Root Systems

@inproceedings{Azam2002ExtendedAR,
  title={Extended Affine Root Systems},
  author={Saeid Azam},
  year={2002}
}
There are two notions of the extended affine root systems in the literature which both are introduced axiomatically. One, extended affine root system (SAERS for short), consists only of nonisotropic roots, while the other, extended affine root system (EARS for short), contains certain isotropic roots too. We show that there is a one to one correspondence between (reduced) SEARSs and EARSs. Namely the set of nonisotropic roots of any EARS is a (reduced) SEARS, and conversely, there is a unique… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-5 of 5 references

Pianzola, Extended affine Lie algebras and their root systems, Mem

B. Allison, S. Azam, S. Berman, Y. Gao
Amer. Math. Soc • 1997
View 8 Excerpts
Highly Influenced

Extended affine root systems 1 (Coxeter transformations)

K. Saito
RIMS, Kyoto Univ • 1985
View 5 Excerpts
Highly Influenced

Extended affine Lie algebras and their root systems

B. Allison, S. Azam, S. Berman, Y. Gao, A. Pianzola
Mem . Amer . Math . Soc . • 1997

Classification and construction of quasi-simple Lie algebras

R. Høegh-Krohn, B. Torresani
J. Funct. Anal • 1990
View 2 Excerpts

Affine root systems and Dedekind’s η -functions

I. G. MacDonald
J. Invent. Math. vol • 1972
View 2 Excerpts

Similar Papers

Loading similar papers…