Let p be any prime, and let B(p) be the algebra of operations on the cohomology ring of any cocommutative F_p-Hopf algebra. In this paper we show that when p is odd (and unlike the p=2 case), B(p) cannot become an object in the Singer category of F_p-algebras with coproducts, if we require that coproducts act on the generators of B(p) coherently with their nature of cohomology operations A Note on the Algebra of Operations for Hopf Cohomology at Odd Primes. Available from: https://www.researchgate.net/publication/316015382_A_Note_on_the_Algebra_of_Operations_for_Hopf_Cohomology_at_Odd_Primes [accessed Jul 3, 2017].
A note on the algebra of operations for Hopf cohomology at odd primes / Brunetti, Maurizio; Ciampella, Adriana; Lomonaco, LUCIANO AMITO. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - 67:2(2018), pp. 617-623. [10.1007/s11587-017-0330-3]
A note on the algebra of operations for Hopf cohomology at odd primes
BRUNETTI, MAURIZIO
;CIAMPELLA, ADRIANA;LOMONACO, LUCIANO AMITO
2018
Abstract
Let p be any prime, and let B(p) be the algebra of operations on the cohomology ring of any cocommutative F_p-Hopf algebra. In this paper we show that when p is odd (and unlike the p=2 case), B(p) cannot become an object in the Singer category of F_p-algebras with coproducts, if we require that coproducts act on the generators of B(p) coherently with their nature of cohomology operations A Note on the Algebra of Operations for Hopf Cohomology at Odd Primes. Available from: https://www.researchgate.net/publication/316015382_A_Note_on_the_Algebra_of_Operations_for_Hopf_Cohomology_at_Odd_Primes [accessed Jul 3, 2017].File | Dimensione | Formato | |
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