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Real Projective Representations of SN and AN

Published online by Cambridge University Press:  20 November 2018

John Q. Huang
John Q. Huang*
Affiliation:
The Fields Institute for Research in Mathematical Sciences, 185 Columbia Street West, Waterloo, Ontario, N2L 5Z5
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Abstract

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Three main results are obtained in this paper: one generalizes the Atiyah-Bott-Shapiro periodicity equivalence on the category of real Clifford modules, (Theorem 2.2); another establishes the existence of two algebras for real projective representations of the symmetric group Sn and the alternating group An, (Theorem 3.2) and determines their structure, (Theorem 6.1); the third describes all the real projective representations of Sn and An except for some small numbers n, (Theorem 7.2).

Keywords

20C2520C1516A2420C30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 3 , 01 June 1994 , pp. 543 - 573
Copyright
Copyright © Canadian Mathematical Society 1994

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