125 citations · 804 across the 71 of their papers we have counts for
9 papers · 1 filter
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…
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…
Tube representations and twisting of graded categories
Jyotishman Bhowmick, Shamindra Ghosh, Narayan Rakshit +1
We study deformation of tube algebra under twisting of graded monoidal categories. When a tensor category is graded over a group , a torus-valued 3-cocycle on …
Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations
Kenny De Commer, Sergey Neshveyev, Lars Tuset +1
Let be a compact semisimple Lie algebra, and be a Lie algebra involution of . Let Rep be the ribbon braided tensor C*-category of $U…
Tracing cyclic homology pairings under twisting of graded algebras
Sayan Chakraborty, Makoto Yamashita
We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of mon…
Graded twisting of comodule algebras and module categories
Julien Bichon, Sergey Neshveyev, Makoto Yamashita
Continuing our previous work on graded twisting of Hopf algebras and monoidal categories, we introduce a graded twisting construction for equivariant comodule algebras and module c…