Extended-hyperbolic Kac-Moody algebras structure and root multiplicities. (English) Zbl 1094.17012
Determination of multiplicities of roots for Kac-Moody algebras is an interesting problem in Kac-Moody algebras. This paper discussed the same problem for a class of extended-hyperbolic Kac-Moody algebras, namely, \({EHA_2}^{(2)}\). A realization of this kind of algebras is given, the homology modules and the structure of maximal ideals are determined and the multiplicities of roots up to level 3 are computed.
Reviewer: Xiandong Wang (Shandong)
MSC:
| 17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
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