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pro vyhledávání: '"Sadowski, Christopher"'
We present what we call a "motivated proof" of the Bressoud-G\"ollnitz-Gordon partition identities. Similar "motivated proofs" have been given by Andrews and Baxter for the Rogers-Ramanujan identities and by Lepowsky and Zhu for Gordon's identities.
Externí odkaz:
http://arxiv.org/abs/2311.01992
Autor:
Huang, Yi-Zhi, Sadowski, Christopher
Given a weight-one element $u$ of a vertex operator algebra $V$, we construct an automorphism of the category of generalized $g$-twisted modules for automorphisms $g$ of $V$ fixing $u$. We apply this construction to the case that $V$ is an affine ver
Externí odkaz:
http://arxiv.org/abs/2211.05334
In this paper, a continuation of \cite{MPS}, we investigate the $S_3$-orbifold subalgebra of $(\mathcal{V}_c)^{\otimes 3}$, that is, we consider the $S_3$-fixed point vertex subalgebra of the tensor product of three copies of the universal Virasoro v
Externí odkaz:
http://arxiv.org/abs/2209.13341
We provide an observation relating several known and conjectured $q$-series identities to the theory of principal subspaces of basic modules for twisted affine Lie algebras. We also state and prove two new families of $q$-series identities. The first
Externí odkaz:
http://arxiv.org/abs/2208.14581
We study permutation orbifolds of the $2$-fold and $3$-fold tensor product for the Virasoro vertex algebra $\mathcal{V}_c$ of central charge $c$. In particular, we show that for all but finitely many central charges $\left(\mathcal{V}_c^{\otimes 3}\r
Externí odkaz:
http://arxiv.org/abs/2005.08398
Publikováno v:
In Journal of Pure and Applied Algebra October 2023 227(10)
Autor:
Huang, Yi-Zhi, Sadowski, Christopher
Publikováno v:
In Journal of Algebra 15 August 2023 628:452-485
Akademický článek
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We study the principal subspaces of higher level standard $A_2^{(2)}$-modules, extending earlier work in the level one case, by Calinescu, Lepowsky, and Milas. We prove natural presentations of principal subspaces and also of certain related spaces.<
Externí odkaz:
http://arxiv.org/abs/1806.01634
This is the third in a series of papers studying the vertex-algebraic structure of principal subspaces of twisted modules for lattice vertex operator algebras. We focus primarily on lattices $L$ whose Gram matrix contains only non-negative entries. W
Externí odkaz:
http://arxiv.org/abs/1804.09230