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math.KT2004★ 2 cited
Loday--Quillen--Tsygan Theorem for Coalgebras
Atabey Kaygun
In this paper we prove that Loday--Quillen--Tsygan Theorem generalizes to the case of coalgebras. Specifically, we show that the Chevalley--Eilenberg--Lie homology of the Lie coalg…
math.KT2004
Bialgebra Cyclic Homology with Coefficients, Part II
Atabey Kaygun
This is the second part of the article [math.KT/0408094]. In the first paper, we used the underlying coalgebra structure to develop a cyclic theory. In this paper we define a dual…
math.KT2004
Bialgebra Cyclic Homology with Coefficients, Part I
Atabey Kaygun
The cyclic (co)homology of Hopf algebras is defined by Connes and Moscovici [math.DG/9806109] and later extended by Khalkhali et.al [math.KT/0306288] to admit stable anti-Yetter-Dr…