Departmental Bulletin Paper EQUIVARIANT MAPS BETWEEN REPRESENTATION SPHERES OF CYCLIC p-GROUPS

Ohashi, Ko

54 ( 4 )  , pp.647 - 659 , 2017-10 , Osaka University and Osaka City University, Departments of Mathematics
ISSN:00306126
NCID:AA00765910
Description
This paper deals with necessary conditions for the existence of equivariant maps between the unit spheres of unitary representations of a cyclic p-group G. T. Bartsch gave a necessary condition for some unitary representations of G by using equivariant K-theory. We give two necessary conditions following Bartsch’s approach. One is a generalization of Bartsch’s result for any unitary representation of G which does not contain the trivial representation. The other is a stronger necessary condition for some special cases.
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http://ir.library.osaka-u.ac.jp/repo/ouka/all/67005/ojm54_04_647.pdf

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