Representation Theory of the Yangian of the Lie Superalgebra and the Quantum Loop Superalgebra
| Autor: | V. A. Stukopin |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Nuclear and High Energy Physics Pure mathematics 010308 nuclear & particles physics Mathematics::Rings and Algebras Representation (systemics) Lie superalgebra 01 natural sciences Representation theory Superalgebra Loop (topology) Mathematics::Category Theory Mathematics::Quantum Algebra 0103 physical sciences Yangian Mathematics::Representation Theory 010306 general physics Equivalence (measure theory) Quantum |
| Zdroj: | Physics of Particles and Nuclei. 51:474-478 |
| ISSN: | 1531-8559 1063-7796 |
| DOI: | 10.1134/s106377962004070x |
| Popis: | Based on the description of irreducible finite-dimensional representations of the Yangian of special linear Lie superalgebra and quantum loop special linear superalgebra we introduce the counterparts of the categories $$\mathfrak{O}$$ for representations of these quantum superalgebras. The theorem of equivalence of these representation categories is announced. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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