Lie algebra cohomology made easy
Il 18 ottobre 2023, alle 4:30 pm (CET), nel quadro della serie di seminari Insalate di Matematica, in aula 3014 e in diretta streaming, Simone Blumer (Università di Milano Bicocca) parlerà di
Title: "Lie algebra cohomology made easy"
Abstract: Lie algebras were introduced in the context of Lie groups to study the concept of infinitesimal transformations by Marius Sophus Lie in the 1870s. Since then they acquired more and more importance for their own role in algebra, geometry and even physics. Similarly, cohomology theory initially emerged to analyse topological spaces' complexities (e.g., counting the number of holes) and then found applications in investigating algebraic structures.
Our focus will center on a specific class of Lie algebras known as positively-graded Lie algebras. We will showcase well-behaved examples of these Lie algebras, highlighting how their cohomology theory simplifies into manageable linear algebraic computations.
Our focus will center on a specific class of Lie algebras known as positively-graded Lie algebras. We will showcase well-behaved examples of these Lie algebras, highlighting how their cohomology theory simplifies into manageable linear algebraic computations.
Keywords: Lie algebras, Homological algebra, Koszul algebras, RAAGs
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