Invariant bilinear forms on real irreducible representations of real semisimple lie algebras * |
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| Authors: | Jin Quanqin |
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| Institution: | 1. Institute of Applied Mathematics , Academia Sinica , Beijing, 100080, P.R.China;2. Deparment of Mathematics , Herbei University , Baoding, 071002, P.R.China |
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| Abstract: | In this note, we give a necessary and sufficient condition for a real irreducible representation of a real simple Lie algebra to admit an invariant bilinear form. We also determine when the invariant bilinear form is symmetric or skew-symmetric. |
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| Keywords: | Modular representation Projective representation Representation type Twisted group algebra |
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