𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Baker-Campbell-Hausdorff relations for finite-dimensional lie algebras

✍ Scribed by Julián Echave; Francisco M. Fernández


Publisher
Springer
Year
1992
Tongue
English
Weight
483 KB
Volume
9
Category
Article
ISSN
0259-9791

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Quasinilpotent Banach–Lie Algebras Are B
✍ Wojciech Wojtyński 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 179 KB

It is proved that for a Banach Lie algebra L the Baker Campbell Hausdorff series converges for any pair a, b # L if and only if for each c # L the adjoint operator ad c is quasi-nilpotent.

Structure of α-Stratified Modules for Fi
✍ V. Futorny; V. Mazorchuk 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 331 KB

For complex simple finite-dimensional Lie algebras we study the structure of generalized Verma modules which are torsion free with respect to some subalgebra Ž . isomorphic to sl 2 . We obtain a criterion of irreducibility and establish necessary and sufficient conditions for the existence of a non-

Classification of Irreducible Nonzero Le
✍ V Futorny; A Tsylke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th