A note on functional equations of prehomogeneous vector spaces of parabolic type arising from special linear Lie algebras

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Abstract

The purpose of the present note is twofold. Firstly, we review Shintani's calculation on the functional equation of prehomogeneous (local) zeta functions associated with the space of square matrices. Secondly, we show that Shintani's method can be applied to the prehomogeneous vector spaces of parabolic type arising from special linear Lie algebras, if we employ some recent results.Partially supported by the Grant-in-Aid for Scientific Research (No. 22740022) from the Japan Society for the Promotion of Science

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  • Josai Mathematical Monographs

    Josai Mathematical Monographs (6), 81-91, 2013-03

    城西大学理学研究科

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