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The \(b\)-function and the holonomy diagram of a regular simple prehomogeneous vector space (\(\text{GL}(1)^2 \times\text{Spin} (10)\), half-spin rep. + vector rep.) - MaRDI portal

The \(b\)-function and the holonomy diagram of a regular simple prehomogeneous vector space (\(\text{GL}(1)^2 \times\text{Spin} (10)\), half-spin rep. + vector rep.) (Q1840623)

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scientific article; zbMATH DE number 1563187
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English
The \(b\)-function and the holonomy diagram of a regular simple prehomogeneous vector space (\(\text{GL}(1)^2 \times\text{Spin} (10)\), half-spin rep. + vector rep.)
scientific article; zbMATH DE number 1563187

    Statements

    The \(b\)-function and the holonomy diagram of a regular simple prehomogeneous vector space (\(\text{GL}(1)^2 \times\text{Spin} (10)\), half-spin rep. + vector rep.) (English)
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    15 December 2003
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    In the theory of prehomogeneous vector spaces, it is important to give the explicit forms of \(b\)-functions. By the aid of microlocal analysis, the author gives the holonomy diagram and the explicit form of the \(b\)-function of \((\text{GL}(1)^2 \times \text{Spin}(10)\), half-spin rep. + vector rep.), which is one of the regular simple prehomogeneous vector spaces.
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    microlocal analysis
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