13 citations · 15 across the 8 of their papers we have counts for
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Rogers-Ramanujan exact sequences and free representations over free generalized vertex algebras
Kazuya Kawasetsu
The Rogers-Ramanujan recursions are studied from the viewpoint of free representations over free (generalized) vertex algebras. Specifically, we construct short exact sequences amo…
On the commutant of the principal subalgebra in the lattice vertex algebra
Kazuya Kawasetsu
The coset (commutant) construction is a fundamental tool to construct vertex operator algebras from known vertex operator algebras. The aim of this paper is to provide a fundamenta…
Weight module classifications for Bershadsky--Polyakov algebras
Drazen Adamovic, Kazuya Kawasetsu, David Ridout
The Bershadsky--Polyakov algebras are the subregular quantum hamiltonian reductions of the affine vertex operator algebras associated with . In arXiv:2007.00396 [m…
Admissible-level minimal models
Kazuya Kawasetsu, David Ridout, Simon Wood
The first part of this work uses the algorithm recently detailed in arXiv:1906.02935 to classify the irreducible weight modules of the minimal model vertex operator algebra $L_k(\m…
A question of Joseph Ritt from the point of view of vertex algebras
Tomoyuki Arakawa, Kazuya Kawasetsu, Julien Sebag
Let be a field of characteristic zero. This paper studies a problem proposed by Joseph F. Ritt in 1950. Precisely, we prove that (1) If is an integer, for every integ…
A realisation of the Bershadsky--Polyakov algebras and their relaxed modules
Drazen Adamovic, Kazuya Kawasetsu, David Ridout
We present a realisation of the universal/simple Bershadsky--Polyakov vertex algebras as subalgebras of the tensor product of the universal/simple Zamolodchikov vertex algebras and…