Identities for conjugation in the Steenrod algebra
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- by Philip D. Straffin PDF
- Proc. Amer. Math. Soc. 49 (1975), 253-255 Request permission
Abstract:
Let $\chi$ be the canonical conjugation in the Steenrod algebra ${\mathcal {A}_2}$. I prove the identity \[ S{q^{{2^n}}} + \chi (S{q^{{2^n}}}) = S{q^{{2^{n - 1}}}}\chi (S{q^{{2^{n - 1}}}})\] and generalizations of this identity both in ${\mathcal {A}_2}$ and in ${\mathcal {A}_p}$ where $p$ is an odd prime.References
- Donald M. Davis, The antiautomorphism of the Steenrod algebra, Proc. Amer. Math. Soc. 44 (1974), 235–236. MR 328934, DOI 10.1090/S0002-9939-1974-0328934-1
- John Milnor, The Steenrod algebra and its dual, Ann. of Math. (2) 67 (1958), 150–171. MR 99653, DOI 10.2307/1969932
- René Thom, Espaces fibrés en sphères et carrés de Steenrod, Ann. Sci. Ecole Norm. Sup. (3) 69 (1952), 109–182 (French). MR 0054960
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 49 (1975), 253-255
- MSC: Primary 55G10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0380796-3
- MathSciNet review: 0380796