Free Abelian extensions ofSp-permutable algebras
β Scribed by P. B. Zhdanovich
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 471 KB
- Volume
- 152
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
2 Γ 2 . If H is abelian of order 8, we may use K = k H \* , and if H is abelian of order 4 we use K = kD 8 \* . If H βΌ = D 8 , then in the two possible examples, one has K = kD 8 \* and the other has K = kQ 8 \* . If H βΌ = 2 Γ 2 Γ 2 then H has two simple degree 2 characters, Ο 1 and Ο 2 , and they
It is the aim of this work to give a characterization of the two-step nilpotent Lie algebras carrying abelian hypercomplex structures. In the special case of trivial extensions of irreducible H -type Lie algebras this characterization is given in terms of the dimension of the commutator subalgebra.