论文标题

有限$ \ MATHCAL {W} $ - $ \ MATHFRAK的代数{osp} _ {1 | 2n} $和Ghost Centers

Finite $\mathcal{W}$-algebras of $\mathfrak{osp}_{1|2n}$ and Ghost centers

论文作者

Genra, Naoki

论文摘要

我们证明,有限的$ \ mathcal {w} $ - 与$ \ mathfrak相关的代数{ $ \ mathfrak {osp} _ {1 | 2n} $。

We prove that the finite $\mathcal{W}$-algebra associated to $\mathfrak{osp}_{1|2n}$ and its principal nilpotent element is isomorphic to Gorelik's ghost center of $\mathfrak{osp}_{1|2n}$, which proves an analog of Kostant's theorem for $\mathfrak{osp}_{1|2n}$.

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