The mod 2 universal Steenrod algebra Q is a non-locally finite homogeneous quadratic algebra closely related to the ordinary mod 2 Steenrod algebra and the Lambda algebra. The algebra Q provides an example of a Koszul algebra which is a direct limit of a family of certain non-Koszul algebras Rk's. In this paper we see how far the several Rk's are to be Koszul by chasing in their cohomology non-trivial cocycles of minimal homological degree
Chasing non-diagonal cycles in a certain system of algebras of operations / Brunetti, Maurizio; Lomonaco, LUCIANO AMITO. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 63:no. 1 Suppl.(2014), pp. 57-68. [10.1007/s11587-014-0190-z]
Chasing non-diagonal cycles in a certain system of algebras of operations
BRUNETTI, MAURIZIO;LOMONACO, LUCIANO AMITO
2014
Abstract
The mod 2 universal Steenrod algebra Q is a non-locally finite homogeneous quadratic algebra closely related to the ordinary mod 2 Steenrod algebra and the Lambda algebra. The algebra Q provides an example of a Koszul algebra which is a direct limit of a family of certain non-Koszul algebras Rk's. In this paper we see how far the several Rk's are to be Koszul by chasing in their cohomology non-trivial cocycles of minimal homological degree| File | Dimensione | Formato | |
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