A Drinfeld presentation for the twisted Yangian $Y_3
We define the Drinfeld generators for $Y_3^+$, the twisted Yangian associated to the Lie algebra $\mathfrak{so}_3(\mathbb{C})$. This allows us to define shifted twisted Yangians, which are certain subalgebras of $Y_3^+$. We show that there are families of homomorphisms from the shifted twisted Yangi...
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| Main Author: | |
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| Format: | Journal Article |
| Language: | English |
| Published: |
21-01-2016
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | We define the Drinfeld generators for $Y_3^+$, the twisted Yangian associated
to the Lie algebra $\mathfrak{so}_3(\mathbb{C})$. This allows us to define
shifted twisted Yangians, which are certain subalgebras of $Y_3^+$. We show
that there are families of homomorphisms from the shifted twisted Yangians in
$Y_3^+$ to the universal enveloping algebras of various orthogonal and
symplectic Lie algebras, and we conjecture that the images of these
homomorphisms are isomorphic to various finite $W$-algebras. |
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| DOI: | 10.48550/arxiv.1601.05701 |