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By Vyacheslav Futorny
CIMPA
The purpose of the mini-course is to give an introduction to the representation theory of Lie algebras, both finite and infinite dimensional: simple complex finite dimensional, Affine Kac-Moody algebras and Lie algebras of vector fields. We will discuss first the classification of simple finite ...
Appears in collection : Vyacheslav Futorny: Representations of Lie Algebras
By Kinvi Kangni
We’ll start with the definition and the main properties of Lie algebras.The particular case, like onilpotent, solvable, semi-simple Lie groups and Lie algebras will be studied. Lie algebras of Lie groups, Cartan Lie subalgebra, Cartan and Iwasawa decompositions and some applications.
Appears in collection : Kinvi Kangni: Lie Groups and Lie Algebras
By Matt Szczesny
IHES
The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras. I will ...
Appears in collection : Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
By Dominique Manchon
CIRM