Projective Linear Monoids and Hinges

Let V be a complex vector space. We propose a compactification PM(V) of the projective linear group PGL(V), which can act on the projective space P(V). After proving some properties of PM(V), we consider its relation to Neretin's compactification Hinge*(V).

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1. Verfasser: Saito, Mutsumi
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Sprache:eng
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Zusammenfassung:Let V be a complex vector space. We propose a compactification PM(V) of the projective linear group PGL(V), which can act on the projective space P(V). After proving some properties of PM(V), we consider its relation to Neretin's compactification Hinge*(V).
DOI:10.48550/arxiv.1711.01397