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Upper Triangular Invariants

Published online by Cambridge University Press:  20 November 2018

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Abstract

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We modify the construction of the mod 2 Dyer-Lashof (co)-algebra to obtain a (co)-algebra W which is (also) unstable over the Steenrod algebra A*. W has canonical sub-coalgebras W[k] such that the hom-dual W[k:]* is isomorphic as an A-algebra to the ring of upper triangular invariants in ℤ/2ℤ [x1, . . . , xk].

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1985