A. Romanov

activity

20182026

most citedAn orbit model for the spectra of nilpotent Gelfand pairs

3 citations · 3 across the 5 of their papers we have counts for

collaborators

9 papers

math.RT2026

Lusztig-Vogan categories of equal rank 2

Daniel Dunmore, Anna Romanov, Victor L. Zhang

Lusztig-Vogan categories are categorifications of the principal block of the Lusztig-Vogan module over the Hecke algebra, which captures information about characters of irreducible…

math.RT2022

A categorification of the Lusztig--Vogan module

Scott Larson, Anna Romanov

We construct two categorifications of the Lusztig--Vogan module associated to a real reductive algebraic group. The first categorification is given by semisimple complexes in an eq…

math.RT2021

Contravariant pairings between standard Whittaker modules and Verma modules

Adam Brown, Anna Romanov

We classify contravariant pairings between standard Whittaker modules and Verma modules over a complex semisimple Lie algebra. These contravariant pairings are useful in extending…

math.RT2021

Langlands correspondence and Bezrukavnikov's equivalence

Anna Romanov, Geordie Williamson

These are lecture notes (by the first author) from a course (by the second author) given over two extended semesters at the University of Sydney. The first part provides an introdu…

math.RT2020

Four examples of Beilinson-Bernstein localization

Anna Romanov

Let $g$ be a complex semisimple Lie algebra. The Beilinson-Bernstein localization theorem establishes an equivalence of the category of $g$ -modules of a fixed…

math.RT2019

Contravariant forms on Whittaker modules

Adam Brown, Anna Romanov

Let $g$ be a complex semisimple Lie algebra. We give a classification of contravariant forms on the nondegenerate Whittaker $g$ -modules $Y (χ, η)$ introduced b…

math.RT2019

Finite Gelfand pairs and cracking points of the symmetric groups

Faith Pearson, Anna Romanov, Dylan Soller

Let $Γ$ be a finite group. Consider the wreath product $G_{n} := Γ^{n} ⋊ S_{n}$ and the subgroup $K_{n} := Δ_{n} \times S_{n} \subseteq G_{n}$ , where $S_{n}$ is the symmetric group and $Δ_{n}$ …

math.RT2018

A Kazhdan-Lusztig algorithm for Whittaker modules

Anna Romanov

We study a category of Whittaker modules over a complex semisimple Lie algebra by realizing it as a category of twisted D-modules on the associated flag variety using Beilinson-Ber…

math.RT2018★ 3 cited

An orbit model for the spectra of nilpotent Gelfand pairs

Holley Friedlander, William Grodzicki, Wayne Johnson +4

Let $N$ be a connected and simply connected nilpotent Lie group, and let $K$ be a subgroup of the automorphism group of $N$ . We say that the pair $(K, N)$ is a nilpotent Gelfand pai…