Integrable Defects in Field Theory: Classical Aspects and Quantum Groups
The Lie algebra of derivations on a polynomial ring and certain maximal subalgebras
Lie and Jordan algebras, their representations and generalizations
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Dept Matemat, Sao Paulo - Brazil
[2] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk - Russia
[3] Sobolev Inst Math, Novosibirsk - Russia
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | SIBERIAN MATHEMATICAL JOURNAL; v. 62, n. 1, p. 138-147, JAN 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
Under study are the right-symmetric algebras over a field F which possess a ``unital{''} matrix subalgebra M-n(F). We classify all these finite-dimensional right-symmetric algebras A = W circle plus M-2(F) in the case when W is an irreducible module over sl(2)(F). (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/05372-7 - Simple finite-dimensional left-symmetric (super)algebras |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |