A question of Joseph Ritt from the point of view of vertex algebras

Autor: Julien Sebag, Tomoyuki Arakawa, Kazuya Kawasetsu

Publikováno v: Journal of Algebra
Journal of Algebra, Elsevier, 2021, 588, pp.118-128. ⟨10.1016/j.jalgebra.2021.07.030⟩
Journal of Algebra, 2021, 588, pp.118-128. ⟨10.1016/j.jalgebra.2021.07.030⟩

Let k be a field of characteristic zero. This paper studies a problem proposed by Joseph F. Ritt in 1950. Precisely, we prove that (1) If p ⩾ 2 is an integer, for every integer i ∈ N , the nilpotency index of the image of T i in the ring k { T }

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c158409a0466d9606c37894d59cc48c0
https://hal.archives-ouvertes.fr/hal-03360846

Admissible-level $\mathfrak{sl}_3$ minimal models

Autor: 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 $L_k(\mathfrak{sl}_3)$, when the level $k$ is admissible. These are naturally

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::219e6d2e90593e779c7b94d933f520dc
http://arxiv.org/abs/2107.13204

Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras

Autor: Zachary Fehily, Kazuya Kawasetsu, David Ridout

The Bershadsky-Polyakov algebras are the minimal quantum hamiltonian reductions of the affine vertex algebras associated to $\mathfrak{sl}_3$ and their simple quotients have a long history of applications in conformal field theory and string theory.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afa3c57c749d09cedff76bae4cb44be4
http://arxiv.org/abs/2007.03917

Relaxed highest-weight modules III: Character formulae

Autor: Kazuya Kawasetsu

This is the third of a series of articles devoted to the study of relaxed highest weight modules over vertex operator algebras. Relaxed highest weight modules over affine vertex algebras associated to higher rank Lie algebras $A_\ell$ are extensively

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaf1caf3b43f2c0fc290fd96064813eb

ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24

Autor: Ching Hung Lam, Kazuya Kawasetsu, Xingjun Lin

Publikováno v: Proceedings of the American Mathematical Society. 146:1937-1950

The vertex operator algebra structure of a strongly regular holomorphic vertex operator algebra V V of central charge 24 24 is proved to be uniquely determined by the Lie algebra structure of its weight one space V 1 V_1 if V 1 V_1 is a Lie algebra o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::61dc90e135fc2790cc24281f471037b4
https://doi.org/10.1090/proc/13881