Naoki Genra

activity

20162025

most citedDuality of subregular W-algebras and principal W-superalgebras

41 citations · 161 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.RT2022★ 4 cited

Reduction by stages for finite W-algebras

Naoki Genra, Thibault Juillard

Let $g$ be a simple Lie algebra: its dual space $g^{*}$ is a Poisson variety. It is well known that for each nilpotent element $f$ in $g$ , it is poss…

math.RT2022

Finite $W$ -algebras of $osp_{1∣2 n}$ and Ghost centers

Naoki Genra

We prove that the finite $W$ -algebra associated to $osp_{1∣2 n}$ and its principal nilpotent element is isomorphic to Gorelik's ghost center of $\mathfrak{osp}_…

math.RT2022★ 3 cited

Ordinary modules for vertex algebras of $osp_{1∣2 n}$

Thomas Creutzig, Naoki Genra, Andrew Linshaw

We show that the affine vertex superalgebra $V^{k} (osp_{1∣2 n})$ at generic level $k$ embeds in the equivariant $W$ -algebra of $sp_{2 n}$ times $4 n$ free…

Reduction by stages for finite W-algebras

Finite W-algebras of osp1∣2n​ and Ghost centers

Ordinary modules for vertex algebras of osp1∣2n​

Finite $W$ -algebras of $osp_{1∣2 n}$ and Ghost centers

Ordinary modules for vertex algebras of $osp_{1∣2 n}$