Inventiones mathematicae

, Volume 104, Issue 1, pp 179–199

Stable rationality of certain PGLn-quotients


  • Christine Bessenrodt
    • Fachbereich MathematikUniversität Duisburg
  • Lieven Le Bruyn
    • Department Wiskunde U.I. Antwerpen

DOI: 10.1007/BF01245071

Cite this article as:
Bessenrodt, C. & Le Bruyn, L. Invent. math. (1991) 104: 179. doi:10.1007/BF01245071


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

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© Springer-Verlag Berlin Heidelberg 1991