Daniel Orr

activity

20112023

most citedSpecializations of nonsymmetric Macdonald-Koornwinder polynomials

17 citations · 37 across the 16 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CO2023

Wreath Macdonald polynomials, a survey

Daniel Orr, Mark Shimozono

Wreath Macdonald polynomials arise from the geometry of $Γ$ -fixed loci of Hilbert schemes of points in the plane, where $Γ$ is a finite cyclic group of order $r \geq 1$ . For $r = 1$ , t…

math.RT2023

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.RT2023

Nonsymmetric $q$ -Cauchy identity and representations of the Iwahori algebra

Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr

The $t = 0$ specialization of the Mimachi-Noumi Cauchy-type identity rewrites certain infinite product in terms of specialized nonsymmetric Macdonald polynomials of type $G L_{n}$ . We i…

Wreath Macdonald polynomials, a survey

Peter-Weyl theorem for Iwahori groups and highest weight categories

Nonsymmetric q-Cauchy identity and representations of the Iwahori algebra

Nonsymmetric $q$ -Cauchy identity and representations of the Iwahori algebra