if an irreducible representation is self-conjugate (unitarily equivalent to its complex conjugate) but not real (can't be given by all real matrices by choice of basis), then the representation space has the structure of a vector space over the quaternions in such a way that every representation matrix is quaternionic linear!
评分if an irreducible representation is self-conjugate (unitarily equivalent to its complex conjugate) but not real (can't be given by all real matrices by choice of basis), then the representation space has the structure of a vector space over the quaternions in such a way that every representation matrix is quaternionic linear!
评分if an irreducible representation is self-conjugate (unitarily equivalent to its complex conjugate) but not real (can't be given by all real matrices by choice of basis), then the representation space has the structure of a vector space over the quaternions in such a way that every representation matrix is quaternionic linear!
评分if an irreducible representation is self-conjugate (unitarily equivalent to its complex conjugate) but not real (can't be given by all real matrices by choice of basis), then the representation space has the structure of a vector space over the quaternions in such a way that every representation matrix is quaternionic linear!
评分if an irreducible representation is self-conjugate (unitarily equivalent to its complex conjugate) but not real (can't be given by all real matrices by choice of basis), then the representation space has the structure of a vector space over the quaternions in such a way that every representation matrix is quaternionic linear!
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