3 papers
math.QA2025
Real models for the framed little -disks operads
Anton Khoroshkin, Thomas Willwacher
We study the action of the orthogonal group on the little -disks operads. As an application we provide small models (over the reals) for the framed little -disks operads. It…
math.RT2025
Peter-Weyl theorem for Iwahori groups and highest weight categories
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi +1
We study the algebra of functions on the Iwahori group via the category of graded bounded representations of its Lie algebra. In particular, we identify the standard and costandard…
math.RT2024
Categorification of DAHA and Macdonald polynomials
Syu Kato, Anton Khoroshkin, Ievgen Makedonskyi
We describe a categorification of the Double Affine Hecke Algebra () associated with an affine Lie algebra , including…