14 citations · 26 across the 8 of their papers we have counts for
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math.RT2016★ 9 cited
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…
math.RT2016
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…
math.RT2016
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…