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September 29, 2025Open Access

Quasi-triangular Novikov bialgebras and related bialgebra structures

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Authors

ZCZhen CuiBHBo Hou

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Overview

We introduce quasi-triangular novikov bialgebras and their link to the yang-baxter equation, highlighting factorizable structures.

Key Points

  • Quasi-triangular novikov bialgebras connect to the yang-baxter equation, offering new insights into their structures.
  • A correspondence exists between factorizable novikov bialgebras and quadratic rota-baxter novikov algebras of nonzero weights.
  • The induced lie bialgebra maintains its quasi-triangular nature under the conditions of its respective novikov bialgebra.
  • Differential infinitesimal bialgebras exhibit similar structures when pertaining to quasi-triangular conditions.

Cite This Study

Cui et al. (2025) studied this question.

synapsesocial.com/papers/68da5a3ec1728099cfd11a1dhttps://doi.org/10.48550/arxiv.2505.19579
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