Twisted Yangians of small rank
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866913974781476864 |
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| author | Guay, Nicolas Regelskis, Vidas Wendlandt, Curtis |
| author_facet | Guay, Nicolas Regelskis, Vidas Wendlandt, Curtis |
| contents | We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small. We establish isomorphisms between these twisted Yangians and the well known Olshanskii's twisted Yangians of types AI and AII, and also with the Molev-Ragoucy reflection algebras associated with symmetric pairs of type AIII. We also construct isomorphisms with twisted Yangians in Drinfeld's original presentation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1602_01418 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Twisted Yangians of small rank Guay, Nicolas Regelskis, Vidas Wendlandt, Curtis Quantum Algebra Mathematical Physics Representation Theory We study quantized enveloping algebras called twisted Yangians associated with the symmetric pairs of types CI, BDI and DIII (in Cartan's classification) when the rank is small. We establish isomorphisms between these twisted Yangians and the well known Olshanskii's twisted Yangians of types AI and AII, and also with the Molev-Ragoucy reflection algebras associated with symmetric pairs of type AIII. We also construct isomorphisms with twisted Yangians in Drinfeld's original presentation. |
| title | Twisted Yangians of small rank |
| topic | Quantum Algebra Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/1602.01418 |