On the Structure of Split δ-Jordan Lie Color Triple Systems
The structure of the split δ-Jordan Lie color system is studied, the concept of the split δ-Jordan Lie color system is defined.By developing techniques of connections of roots for δ-Jordan Lie color triple systems, we show that δ-Jordan Lie color triple systems T with a symmetric root system is of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2023-02-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2187 |
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| Summary: | The structure of the split δ-Jordan Lie color system is studied, the concept of the split δ-Jordan Lie color system is defined.By developing techniques of connections of roots for δ-Jordan Lie color triple systems, we show that δ-Jordan Lie color triple systems T with a symmetric root system is of form T=U+∑［α］∈Λ1/~I［α］ with U a subspace of T0 and any I［α］ a well described ideal of T, satisfying {I［α］,T,I［β］}={I［α］,I［β］,T}={T,I［α］,I[β]}=0, if［α］≠［β］. |
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| ISSN: | 1007-2683 |