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Vietnam
Journal of Mathematics 39:1 (2011) 19-29
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Monomials Basis of the Araki-Kudo-Dyer-Lashof
Algebra
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Phan Hoàng
Chơn
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Abstract. The Araki-Kudo-Dyer-Lashof algebra R which is an algebra of operations
acting on the homology of infinite loop space, is isomorphic to the algebra
of Dickson coinvariants. In this paper, we give a new basis for the
Araki-Kudo-Dyer-Lashof algebra and discuss its relationship with other
known bases.
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2000 Mathematics Subject Classification: 55N20, 57T05,
57T25.
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Keywords: Araki-Kudo-Dyer-Lashof algebra, Dickson
invariant, homology operations, infinite loop space.
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