Tableaux realization of cuspidal modules for Simple Lie algebras
Derived bracket formalism in algebra and geometry and Gelfand-Tsetlin modules for ...
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
[2] Southern Univ Sci & Technol SUSTech, Int Ctr Math, Shenzhen - Peoples R China
[3] Univ Texas Arlington, Arlington, TX 76019 - USA
[4] Univ Fed ABC, Santo Andre, SP - Brazil
Total Affiliations: 4
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| Document type: | Journal article |
| Source: | BULLETIN OF MATHEMATICAL SCIENCES; v. 11, n. 03 DEC 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We provide a classification and an explicit realization of all simple Gelfand-Tsetlin modules of the complex Lie algebra sl(3). The realization of these modules, including those with infinite-dimensional weight spaces, is given via regular and derivative Gelfand-Tsetlin tableaux. Also, we show that all simple Gelfand-Tsetlin sl(3)-modules can be obtained as subquotients of localized Gelfand-Tsetlin E-21-injective modules. (AU) | |
| FAPESP's process: | 18/17955-7 - Tableaux realization of cuspidal modules for Simple Lie algebras |
| Grantee: | Luis Enrique Ramírez |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |