Real representation
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Beschrijving
Bol
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical field of representation theory a real representation is usually a representation on a real vector space U, but it can also mean a representation on a complex vector space V with an invariant real structure. The two viewpoints are equivalent because if U is a real vector space acted on by a group G (say), then V = U¿C is a representation on a complex vector space with an antilinear equivariant map given by complex conjugation. Conversely, if V is such a complex representation, then U can be recovered as the fixed point set of j (the eigenspace with eigenvalue 1).
Beschrijving
(2)
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the mathematical field of representation theory a real representation is usually a representation on a real vector space U, but it can also mean a representation on a complex vector space V with an invariant real structure. The two viewpoints are equivalent because if U is a real vector space acted on by a group G (say), then V = U¿C is a representation on a complex vector space with an antilinear equivariant map given by complex conjugation. Conversely, if V is such a complex representation, then U can be recovered as the fixed point set of j (the eigenspace with eigenvalue 1).
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