Perpetuants: A Lost Treasure-Reference-Cited by-同舟云学术

Perpetuants: A Lost Treasure

Published:2020-03-11 Issue:5 Volume:2021 Page:3597-3632
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kraft Hanspeter¹,Procesi Claudio¹²

Affiliation:

1. Departement Mathematik und Informatik, Universität Basel, Spiegelgasse 1, CH-4051 Basel

2. Dipartimento di Matematica, G. Castelnuovo, Università di Roma La Sapienza, Piazzale A. Moro, 00185, Roma, Italia

Abstract

Abstract The purpose of this paper is to discuss the classical, and forgotten, notion of perpetuants, see Definition 2.13, and in particular to exhibit a basis of these elements in Theorem 4.9, thus closing an old line of investigation started by J. J. Sylvester in 1882. In order to do this we also give a proof of the classical Theorem of Stroh computing their dimensions.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/5/3597/36583786/rnaa032.pdf

Reference26 articles.

1. Saturations of subalgebras, SAGBI bases, and U-invariants;Bigatti

2. The minimum weight of irreducible q-ary perpetuant types;Gilham;J. London Math. Soc.,1927

3. Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist;Gordan;J. Reine Angew. Math.,1868

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