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arXiv · 1608.05567

The Gelfand-Tsetlin-Zhelobenko base vectors for the series $B$

D. V. Artamonov
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Abstract

In the paper using the method of $Z$-invariants of Zhelobenko we construct base vectors of Gelfand-Tsetlin type in a representation of $\mathfrak{o}_{2n+1}$, based on restrictions $\mathfrak{o}_{2n+1}\downarrow\mathfrak{o}_{2n-1}$. The construction is based on a discovered relation between restriction problems $\mathfrak{o}_{2n+1}\downarrow\mathfrak{o}_{2n-1}$ and $\mathfrak{gl}_{n+1}\downarrow\mathfrak{gl}_{n-1}$.

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BibTeXRIS

D. V. Artamonov. 2016-08-19. The Gelfand-Tsetlin-Zhelobenko base vectors for the series $B$. https://arxiv.org/abs/1608.05567

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