26 citations · 148 across the 44 of their papers we have counts for
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math.RT2013★ 4 cited
Higher Dirac cohomology of modules with generalized infinitesimal character
Pavle Pandžić, Petr Somberg
We modify the definition of Dirac cohomology in such a way that the standard properties of the usual Dirac cohomology, valid for modules with infinitesimal character, become valid…
math.RT2013★ 9 cited
Branching laws for Verma modules and applications in parabolic geometry. I
Toshiyuki Kobayashi, Bent Ørsted, Petr Somberg +1
We initiate a new study of differential operators with symmetries and combine this with the study of branching laws for Verma modules of reductive Lie algebras. By the criterion fo…
math.RT2013★ 1 cited
The F-method and a branching problem for generalized Verma modules associated to $({\LieGtwo},{so(7)})$
Todor Milev, Petr Somberg
The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in \cite{ms}. In the p…