Abstract
Let G be a simple complex algebraic group, P a parabolic subgroup of G and N the unipotent radical of P. The so-called equivariant compactification of N by G/P is given by an action of N on G/P with a dense open orbit isomorphic to N. In this article, we investigate how many such equivariant compactifications there exist for such triples (G, P, N). Our result says that there is a unique equivariant compactification of N by G/P, up to isomorphism, except for a few triples (G, P, N).
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(DAEWOONG CHEONG) Supported by National Researcher Program 2010–0020413 of NRF.
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CHEONG, D. EQUIVARIANT COMPACTIFICATIONS OF A NILPOTENT GROUP BY G/P . Transformation Groups 22, 163–186 (2017). https://doi.org/10.1007/s00031-016-9383-8
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DOI: https://doi.org/10.1007/s00031-016-9383-8