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Abstract
We algebraically construct exterior power operations on higher relative algebraic K-groups and prove their desired properties such as the expected behaviour with respect to (tensor) products and composition. This builds on Grayson’s description of relative K-groups in terms of explicit generators and relations and on work by Harris, the first author and Taelman for (absolute) K-groups. Among the new features in our approach is the observation that the product axiom in the classical notion of a λ-ring is redundant.
More information
Submitted date: 2025
Keywords:
relative algebraic K-theory, exterior power operations, lambda-ring, binary complex, polynomial functor
Identifiers
Local EPrints ID: 507382
URI: http://eprints.soton.ac.uk/id/eprint/507382
PURE UUID: 0cc38a1e-082f-48c4-9ba2-814a028dbeaa
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Date deposited: 08 Dec 2025 17:39
Last modified: 09 Dec 2025 02:38
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Contributors
Author:
Jane Turner
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