Geodesic
On triangular changes of bases in the $\mod p$ Steenrod algebra
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 183-200
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We discuss which transition matrices between some pairs of additive bases of the $\mod p$ Steenrod algebra with the Bockstein element are triangular. 
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T. V. Ovchinnikova; F. Yu. Popelensky. On triangular changes of bases in the $\mod p$ Steenrod algebra. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 183-200. http://geodesic.mathdoc.fr/item/FPM_2019_22_6_a7/

[1] Emelyanov D. Yu., “O bazisakh Vuda algebry Stinroda $\mod p$”, Fundament. i prikl. matem., 20:3 (2015), 83–90

[2] Emelyanov D. Yu., Popelenskii F. Yu., “O zamenakh bazisov v algebre Stinroda $\mod p$”, Matem. sb., 208:4 (2017), 3–16 | DOI | Zbl

[3] Arnon D., “Monomial bases in the Steenrod algebra”, J. Pure Appl. Algebra, 96 (1994), 215–223 | DOI | MR | Zbl

[4] Emelyanov D. Yu., Popelensky Th. Yu., “On monomial bases in the $\mod p$ Steenrod algebra”, J. Fixed Point Theory Appl., 17:2 (2015), 341–353 | DOI | MR | Zbl

[5] Emelyanov D. Yu., Popelensky Th. Yu., “On monomial bases in the $\mod p$ Steenrod algebra, $\beta$ included”, J. Pure Appl. Algebra, 223:8 (2019), 3386–4301 | DOI | MR

[6] Karaça I., Tanai B., The change of bases in the $\mod p$ Steenrod algebra, Preprint | MR

[7] Milnor J., “The Steenrod algebra and its dual”, Ann. Math., 67:1 (1958), 150–171 | DOI | MR | Zbl

[8] Monks K. G., “Change of basis, monomial relations, and $P^t_s$ bases for the Steenrod algebra”, J. Pure Appl. Algebra, 125:1 (1998), 235–260 | DOI | MR | Zbl

[9] Palmieri J., Zhang J. J., “Commutators in the Steenrod algebra”, New York J. Math., 19 (2013), 23–37 | MR | Zbl

[10] Wall C. T. C., “Generators and relations for the Steenrod algebra”, Ann. Math., 72:2 (1960), 429–444 | DOI | MR | Zbl