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Vietnam Journal of Mathematics 39:1 (2011) 19-29  

Monomials Basis of the Araki-Kudo-Dyer-Lashof Algebra

Phan Hoàng Chơn

 

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.

2000 Mathematics Subject Classification: 55N20, 57T05, 57T25.

Keywords: Araki-Kudo-Dyer-Lashof algebra, Dickson invariant, homology operations, infinite loop space.

 

 

 

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