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Stable rationality of certain PGLn-quotients

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Stable rationality of the field of matrix invariants ℂM n ×M n )PGL n is proved forn=5 andn=7. In combination with existing results this shows that ℂ (V)PGL n is stably rational wheneverV is an almost free representation ofPGL n andn divides 420=22·3·5·7.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Duisburg, Lotharstr. 65, W-4100, Duisburg, Germany

    Christine Bessenrodt

  2. Department Wiskunde U.I. Antwerpen, Universiteitsplein 1, B-2610, Wilrijk, Belgium

    Lieven Le Bruyn

Authors
  1. Christine Bessenrodt
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  2. Lieven Le Bruyn
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Oblatum 1-VII-1989 & 15-VI-1990 & 19-VII-1990

Partially supported by the DFG

Research associate of the NFWO

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Bessenrodt, C., Le Bruyn, L. Stable rationality of certain PGLn-quotients. Invent. math. 104, 179–199 (1991). https://doi.org/10.1007/BF01245071

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