Bøger af Daniel Beltita

In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well.

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. This title builds the background to understand this circle of ideas and reports on developments in this field of research. It introduces infinite dimensional Lie theory, emphasising on the relationship between Lie groups and Lie algebras.

In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well.