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Irreducible Representations for the Baby Tits-Kantor-Koecher Algebra.
- Source :
-
Communications in Algebra . Jun2010, Vol. 38 Issue 6, p2177-2183. 7p. - Publication Year :
- 2010
-
Abstract
- The baby Tits-Kantor-Koecher (TKK) algebra constructed from the smallest (nonlattice) semilattice is related to the “smallest” extended affine Lie algebras other than the finite dimensional simple Lie algebras and the affine Kac-Moody algebras. In this article, we classify the finite dimensional irreducible representations for the baby TKK algebra. It turns out that such representations can be lifted from modules of direct sums of finitely many copies of the simple Lie algebra sp4(). [ABSTRACT FROM AUTHOR]
- Subjects :
- *SEMILATTICES
*KAC-Moody algebras
*LIE algebras
*LATTICE theory
*FINITE groups
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 38
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 51417491
- Full Text :
- https://doi.org/10.1080/00927870903049191