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Finite presentability of some metabelian Hopf algebras

Published online by Cambridge University Press:  17 April 2009

Dessislava H. Kochloukova
Dessislava H. Kochloukova
Affiliation:
IMECC-UNICAMP, Cx. P. 6065, 13083–970 Campinas, SP, Brazil
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We classify the Hopf algebras U (L)#kQ of homological type FP2 where L is a Lie algebra and Q an Abelian group such that L has an Abelian ideal A invariant under the Q-action via conjugation and U (L/A)#kQ is commutative. This generalises the classification of finitely presented metabelian Lie algebras given by J. Groves and R. Bryant.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 72 , Issue 1 , August 2005 , pp. 109 - 127
Copyright
Copyright © Australian Mathematical Society 2005

References

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