Finite-Dimensional Representations of Yangians in Complex Rank
2019 ◽
Vol 2020
(20)
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pp. 6967-6998
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Abstract We classify the “finite-dimensional” irreducible representations of the Yangians $Y(\mathfrak{g}\mathfrak{l}_t)$ and $Y(\mathfrak{s}\mathfrak{l}_t)$. These are associative ind-algebras in the Deligne category $\textrm{Rep}(GL_t)$, which generalize the regular Yangians $Y(\mathfrak{g}\mathfrak{l}_n)$ and $Y(\mathfrak{s}\mathfrak{l}_n)$ to complex rank. They were first defined in the paper [14]. Here we solve [14, Problem 7.2]. We work with the Deligne category $\textrm{Rep}(GL_t)$ using the ultraproduct approach introduced in [7] and [16].
2021 ◽
Vol 25
(21)
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pp. 606-643
1966 ◽
Vol 21
(1)
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pp. 137-155
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1968 ◽
Vol 11
(3)
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pp. 399-403
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1985 ◽
Vol 38
(3)
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pp. 394-407
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1994 ◽
Vol 05
(03)
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pp. 389-419
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2016 ◽
Vol 2016
(720)
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