Lie superalgebras

01 September 2015 → 30 September 2020
Regional and community funding: Special Research Fund, Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Algebra
homological algebra Lie superalgebra primitive ideals
Project description

The project is concerned with several aspects of Lie superalgebras. This is an extension of the concept of Lie algebras and is motivated by theoretical physics. The first aspect is homological algebra, more ceoncretely Bernstein-Gelfand-Gelfand resolutions, Kostant cohomology and Bott-Borel-Weil theory. The second aspect is the classification of the primitive ideals in the universal enveloping algebra of the lie superalgebra.