Quasibialgebra

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A generalization of a bialgebra that allows for a weaker form of coassociativity.

    "We prove the existence of a quasi-Coxeter, quasitriangular quasibialgebra structure on the enveloping algebra of g, which binds the quasi-Coxeter structure underlying the Casimir connection of g and the quasitriangular quasibialgebra one underlying its KZ equations."

Example

More examples

"We prove the existence of a quasi-Coxeter, quasitriangular quasibialgebra structure on the enveloping algebra of g, which binds the quasi-Coxeter structure underlying the Casimir connection of g and the quasitriangular quasibialgebra one underlying its KZ equations."

Etymology

From quasi- + bialgebra.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.