The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of Types C and D
Sign Up to like & getrecommendations! Published in 2019 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s001309151800086x
Abstract: Abstract Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated with the Weyl chambers. We compute the integral cohomology groups… read more here.
Keywords: toric varieties; real toric; cohomology groups; weyl chambers ... See more keywords
The second cohomology groups of nilpotent orbits in classical Lie algebras
Sign Up to like & getrecommendations! Published in 2020 at "Kyoto Journal of Mathematics"
DOI: 10.1215/21562261-2019-0046
Abstract: The second de Rham cohomology groups of nilpotent orbits in non-compact real forms of classical complex simple Lie algebras are explicitly computed. Furthermore, the first de Rham cohomology groups of nilpotent orbits in non-compact classical… read more here.
Keywords: lie; lie algebras; nilpotent orbits; groups nilpotent ... See more keywords