3 papers
math.RT2026
Unitary highest weight modules for and with fixed integral infinitesimal character
Pavle Pandžić, Ana Prlić, Vladimír Souček +1
We classify unitary highest weight modules with a given integral infinitesimal character for the real Lie algebras and . We treat both reg…
math.DG2024
Strongly invariant differential operators on parabolic geometries modelled on
Jan Slovák, Vladimír Souček
We consider the curved geometries modelled on the homogeneous space , where acts transitively on the Grassmannian of three-dimensional subspaces…
math.DG2024
Semiholonomic jets and induced modules in Cartan geometry calculus
Jan Slovák, Vladimír Souček
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis…