Some results on metricn-Lie algebras
β Scribed by Rui Pu Bai, Wan Qing Wu, Zhen Heng Li
- Book ID
- 113057221
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2011
- Tongue
- English
- Weight
- 212 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
We give the derivation algebra Der H and the holomorph α H of the finite dimensional Heisenberg algebra H over the complex field C. We also give the Ε½ . Ε½ . Ε½ . derivation algebra Der α H of α H . We prove that Der H is a simple complete Ε½ . Lie algebra, α H is not a complete Lie algebra, but its de
The Ricci tensor has been computed in several infinite dimensional situations. In this work, we shall be interested in the case of the central extension of loop groups and in the asymptotic behaviour of the Ricci tensor on free loop groups as the Riemannian metric varies. ## 1999 Academic Press [h
Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. ## The multiplicator Hz(L/I",R) of L/I" is not finitely generated, and so in particular, L/Z" is not finitely presented, even when L/I is finite dimensional.