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<p>We present an extension of the Weyl group of type B and obtain an analogue of Chevalley-type theorem for their invariants. We further show the existence of several different Dubrovin-Frobenius manifold structures on the corresponding orbit space and also construct Landau–Ginzburg superpotentials for these Dubrovin-Frobenius manifold structures.</p>

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Dubrovin-Frobenius Manifolds and The Extended Weyl Group of Type B

  • 期刊论文

  • 发表日期：

    2026年5月2日

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  • Yemo Wu,
  • Dafeng Zuo

摘要

We present an extension of the Weyl group of type B and obtain an analogue of Chevalley-type theorem for their invariants. We further show the existence of several different Dubrovin-Frobenius manifold structures on the corresponding orbit space and also construct Landau–Ginzburg superpotentials for these Dubrovin-Frobenius manifold structures.