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arxiv: 1711.01397 · v1 · pith:WRCUWIUXnew · submitted 2017-11-04 · 🧮 math.RT

Projective Linear Monoids and Hinges

Mutsumi Saito This is my paper
classification 🧮 math.RT
keywords projectivecompactificationlinearspacecomplexconsidergrouphinge
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On PM-monoids and braid PM-monoids

    math.CO 2019-06 unverdicted novelty 6.0

    Defines PM-monoids and braid PM-monoids, describes the latter via geometric braids using matched pairs and presentations, and solves the word problem.