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Projective representations of the infinite orthogonal group

Published online by Cambridge University Press:  26 February 2010

R. J. Plymen
Affiliation:
The Department of Mathematics, University of Manchester,Manchester, M13 9PL,
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Extract

Let ℝ∞ be the direct limit of the Euclidean spaces ℝn. Now the orthogonal group O(∞) acts on ℝn and the direct limit O(∞) of the groups O(∞) acts on ℝ. The infinite pin group Pin(∞) is an extension of ℤ2 by O(∞) and admits the following presentation: the generators are the unit vectors xf in ℝ and the relations are

Type
Research Article
Copyright
Copyright © University College London 1977

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References

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