Equivariant $K$-Theory and Maps between Representation Spheres | Zendy

Katsuhiro Komiya | Zendy

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Equivariant $K$-Theory and Maps between Representation Spheres

Author(s) -

Katsuhiro Komiya

Publication year - 1995

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195163923

Subject(s) - equivariant map , mathematics , abelian group , combinatorics , homomorphism , lie group , unit (ring theory) , order (exchange) , ring (chemistry) , pure mathematics , discrete mathematics , chemistry , mathematics education , organic chemistry , finance , economics

The equivariant ^-theory has been successfully employed in the study of equivariant maps by Marzantowicz [5], Liulevicious [7] and Bartsch [3]. In the present paper, using the equivariant K- theory, we will obtain a necessary condition for the existence of G-maps SU — > SW , where SU and S W are the unit spheres of unitary representations U and W, respectively, of a compact Lie group G.

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