A-GENERATORS FOR THE POLYNOMIAL ALGEBRA OF FIVE VARIABLES IN DEGREE 5(2t − 1) + 6 · 2t
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Let Ps := F2[x1, x2, . . . , xs] = L n>0 (Ps)n be the polynomial algebra viewed as a graded left module over the mod 2 Steenrod algebra, A . The grading is by the degree of the homogeneous terms (Ps)n of degree n in the variables x1, x2, . . . , xs of grading 1. We are interested in the hit problem, set up by F. P. Peterson, of finding a minimal system of generators for A -module Ps. Equivalently, we want to find a basis for the F2-graded vector space F2 ⊗A Ps. In this paper, we study the hit problem in the case s = 5 and the degree n = 5(2t − 1) + 6 · 2 t with t an arbitrary positive integer.
Abstract
Let Ps := F2[x1, x2, . . . , xs] = L n>0 (Ps)n be the polynomial algebra viewed as a graded left module over the mod 2 Steenrod algebra, A . The grading is by the degree of the homogeneous terms (Ps)n of degree n in the variables x1, x2, . . . , xs of grading 1. We are interested in the hit problem, set up by F. P. Peterson, of finding a minimal system of generators for A -module Ps. Equivalently, we want to find a basis for the F2-graded vector space F2 ⊗A Ps. In this paper, we study the hit problem in the case s = 5 and the degree n = 5(2t − 1) + 6 · 2 t with t an arbitrary positive integer.
참고문헌 (24)
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