Work

Monomial bialgebras

Year: 2026

Type: preprint

Abstract: Starting from a single solution of QYBE (or CYBE) we produce an infinite family of solutions of QYBE (or CYBE) parametrized by transitive arrays and, in particular, by signed permutations. We are especially interested in cases when such solutions yield quasi-triangular structures on direct powers of Lie bialgebras and tensor powers of Hopf algebras. We obtain infinite families of such structures as well and study the corresponding Poisson-Lie structures and co-quasi-triangular algebras.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2602.02342

Authors: Berenstein, Arkady, Greenstein, Jacob, Li, Jian-Rong

Institutions: University of Oregon, University of California, Riverside, University of Vienna, Hochschule Campus Wien, Universitätszahnklinik Wien

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Austrian Science Fund

Awards: G4495373907, Real modules, cluster algebras, and Kac-Moody root systems, Quantum groups and their applications

OpenAlex ID: W7127445530

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