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Conjugation invariants in word Hopf algebras. / Neset Deniz Turgay

Swansea University Author: Neset Deniz Turgay

Abstract

We calculate a basis for the free submodule formed by the invariants in the Leibniz-Hopf algebra under the Hopf algebra conjugation operation. We also give bases for the submodules of conjugation invariants in the dual Leibniz- Hopf algebra and in the mod p reductions of both the Leibniz-Hopf algebr...

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Published: 2012
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42372
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Abstract: We calculate a basis for the free submodule formed by the invariants in the Leibniz-Hopf algebra under the Hopf algebra conjugation operation. We also give bases for the submodules of conjugation invariants in the dual Leibniz- Hopf algebra and in the mod p reductions of both the Leibniz-Hopf algebra and its dual.
Keywords: Mathematics.
College: College of Science