26 citations · 148 across the 44 of their papers we have counts for
16 papers · 1 filter
Reducible characteristic cycles of Harish-Chandra modules for and the Kashiwara-Saito singularity
Leticia Barchini, Petr Somberg, Peter E. Trapa
We give examples of reducible characteristic cycles for irreducible Harish-Chandra modules for by analyzing a four-dimensional singular subvariety of $\mathbb{C}^…
Dirac operator and its cohomology for the quantum group
Pavle Pandžić, Petr Somberg
We introduce a Dirac operator for the quantum group , as an element of the tensor product of with the Clifford algebra on two gener…
Conformal Galilei algebras, symmetric polynomials and singular vectors
Libor Křižka, Petr Somberg
We classify and explicitly describe homomorphisms of Verma modules for conformal Galilei algebras with for any integer value $\ell \in \m…
Geometric realizations of affine Kac-Moody algebras
Vyacheslav Futorny, Libor Křižka, Petr Somberg
The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of f…
Equivariant differential operators on spinors in conformal geometry
Libor Křižka, Petr Somberg
We present a novel approach to the classification of conformally equivariant differential operators on spinors in the case of homogeneous conformal geometry. It is based on the cla…
Differential invariants on symplectic spinors in contact projective geometry
Libor Křižka, Petr Somberg
We present a complete classification and the construction of -equivariant differential operators acting on the principal series representations, assoc…