Affine Vogan diagrams and symmetric pairs
We introduce the affine Vogan diagrams of complex simple Lie algebras. These are generalizations of Vogan diagrams, and we study the involutions represented by them. We apply these diagrams to study the symmetric pairs, in particular the associated and symplectic symmetric pairs.
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| Published in | Journal of pure and applied algebra Vol. 222; no. 7; pp. 1606 - 1627 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.07.2018
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We introduce the affine Vogan diagrams of complex simple Lie algebras. These are generalizations of Vogan diagrams, and we study the involutions represented by them. We apply these diagrams to study the symmetric pairs, in particular the associated and symplectic symmetric pairs. |
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| ISSN: | 0022-4049 1873-1376 |
| DOI: | 10.1016/j.jpaa.2017.07.014 |