I. Penkov

activity

20022023

most citedA categorification of the boson-fermion correspondence via representation theory of $sl(\infty)

19 citations · 68 across the 29 of their papers we have counts for

collaborators

36 papers

math.RT2023

Representations of large Mackey Lie algebras and universal tensor categories

Ivan Penkov, Valdemar Tsanov

We extend previous work by constructing a universal abelian tensor category $T_{t}$ generated by two objects $X, Y$ equipped with finite filtrations $0\subsetneq X_0\subsetneq .…

math.RT2020

Universal tensor categories generated by dual pairs

Alexandru Chirvasitu, Ivan Penkov

Let $V_{*} \otimes V \to C$ be a non-degenerate pairing of countable-dimensional complex vector spaces $V$ and $V_{*}$ . The Mackey Lie algebra $\mathfrak{g}=\mathfrak{gl}…

math.AG2019

Multiple flag ind-varieties with finitely many orbits

Lucas Fresse, Ivan Penkov

Let $G$ be one of the ind-groups $G L (\infty)$ , $O (\infty)$ , $S p (\infty)$ , and $P_{1}, \dots, P_{l}$ be an arbitrary set of $l$ splitting parabolic subgroups of $G$ . We determine all suc…

math.RT2018★ 1 cited

Large annihilator category O for sl_{\infty}, o_{\infty}, sp_{\infty}

Ivan Penkov, Vera Serganova

We construct a new analogue of the BGG category $O$ for the infinite-dimensional Lie algebras $\fg=\mathfrak{sl}(\infty),\mathfrak{o}(\infty), \mathfrak{sp}(\infty)$. A ma…

math.RT2018

On the existence of infinite-dimensional generalized harish-chandra modules

Ivan Penkov, Gregg Zuckerman

We prove a general existence result for infinite-dimensional admissible (g;k)-modules, where g is a reductive finite-dimensional complex Lie algebra and k is a reductive in g algeb…

math.RT2018★ 4 cited

Simple bounded weight modules of $sl (\infty)$ , $o (\infty)$ , $sp (\infty)$

Dimitar Grantcharov, Ivan Penkov

We classify the simple bounded weight modules of $sl (\infty)$ , $o (\infty)$ and $sp (\infty)$ , and compute their annihilators in $U({\mathfrak{…