Opposite relation on dual polar spaces and half-spin Grassmann spaces

Mariusz Kwiatkowski; Mark Pankov

arxiv: 0803.1133 · v2 · submitted 2008-03-07 · 🧮 math.CT · math.GR

Opposite relation on dual polar spaces and half-spin Grassmann spaces

Mariusz Kwiatkowski , Mark Pankov This is my paper

classification 🧮 math.CT math.GR

keywords spacesrelationcollinearitydualgrassmannhalf-spinoppositepolar

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We characterize the collinearity (adjacency) relation of half-spin Grassmann spaces in terms of the relation to be opposite in the corresponding collinearity graphs. Also we show that this characterization does not hold for dual polar spaces.

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Opposite relation on dual polar spaces and half-spin Grassmann spaces

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