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Projective representations of the infinite orthogonal group

Part of: Linear algebraic groups and related topics Lie groups

Published online by Cambridge University Press:  26 February 2010

R. J. Plymen
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

MSC classification

Secondary: 20G05: Representation theory 22E45: Representations of Lie and linear algebraic groups over real fields

Information

Type
Research Article
Information
Mathematika , Volume 24 , Issue 1 , June 1977 , pp. 115 - 121
Copyright
Copyright © University College London 1977

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References

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