Let P(n) = F2[x1, x2, . . . , xn] be the polynomial algebra at the prime 2 in the variables x1, x2, . . . , xn of grading 1. It is a graded module over the Steenrod algebra. In this paper the author presents some useful tools to compute the action of the Steenrod squares on P(n) and applies them to deduce some hit monomials from the others. Then he introduces particular matrices, called “Sq-matrices”, and shows how they can be used to compute the Steenrod squares on P(2).

A note on the unstability conditions of the Steenrod squares on the polynomial algebra / Ciampella, A. - In: MATHEMATICAL REVIEWS. - ISSN 0025-5629. - e:(2010).

A note on the unstability conditions of the Steenrod squares on the polynomial algebra

Ciampella A
2010

Abstract

Let P(n) = F2[x1, x2, . . . , xn] be the polynomial algebra at the prime 2 in the variables x1, x2, . . . , xn of grading 1. It is a graded module over the Steenrod algebra. In this paper the author presents some useful tools to compute the action of the Steenrod squares on P(n) and applies them to deduce some hit monomials from the others. Then he introduces particular matrices, called “Sq-matrices”, and shows how they can be used to compute the Steenrod squares on P(2).
2010
A note on the unstability conditions of the Steenrod squares on the polynomial algebra / Ciampella, A. - In: MATHEMATICAL REVIEWS. - ISSN 0025-5629. - e:(2010).
File in questo prodotto:
File Dimensione Formato  
2549782Janfada2010e.pdf

non disponibili

Licenza: Non specificato
Dimensione 51.79 kB
Formato Adobe PDF
51.79 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/941940
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact