Erratum to: “Remarks on classical invariant theory”

Abstract

Although this paper circulated as a preprint for 12 years, an error in the argument for the Capelli identity went unnoticed until Professor M. Wakayama read the paper in order to review it. I thank him for his care and for bringing this error to my attention. The error occurs on page 566. The result at issue, that det II is central in '/(gyn), is true (and classical) and the general line of argument is sufficient to prove it, but the details of the computation are described incorrectly. The identity on line 3, page 566 is correct, but the description of the calculation drawn from it is not. Instead of terms of the form

Locations

• Transactions of the American Mathematical Society - View - PDF