3 papers
math.QA2025
Poisson-Lie Group structures on semidirect products
Floris Elzinga, Makoto Yamashita
We look at the Poisson structure on the total space of the dual bundle to the Lie algebroid arising from a matched pair of Lie groups. This dual bundle, with the natural semidirect…
math.OA2025
Injectivity for algebras and categories with quantum symmetry
Lucas Hataishi, Makoto Yamashita
We establish the existence of injective envelopes for unital Yetter-Drinfeld C*-algebras, and a related class of bimodule categories over rigid C*-tensor categories. This implies m…
math.QA2025
Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals
Kenny De Commer, Sergey Neshveyev, Lars Tuset +1
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enrique…