Representations of Finite and Compact Groups 在线电子书 图书标签: 表示论  数学  调和分析  群表示  李群  微分几何7  微分几何   

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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!

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!

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!

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!

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!