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Equivariant Maps between Representation Spheres of a Torus
Author(s) -
Katsuhiro Komiya
Publication year - 1998
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/1195144696
Subject(s) - mathematics , combinatorics , torus , equivariant map , unitary representation , integer (computer science) , order (exchange) , product (mathematics) , unit (ring theory) , coprime integers , lie group , irreducible representation , group (periodic table) , unitary state , maximal torus , pure mathematics , geometry , fundamental representation , physics , lie algebra , mathematics education , finance , computer science , political science , law , quantum mechanics , weight , economics , programming language
The Borsuk-Ulam theorem [1] states that i f / : S~*S is an odd map between spheres, i.e., / ( — x ) — ~~f(x) for all x^S, then m

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