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pro vyhledávání: '"Yu, Nina"'
Let $V$ be a vertex operator superalgebra and $g=\left(1\ 2\ \cdots k\right)$ be a $k$-cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra $V^{\otimes k}$. In this paper, we construct an explicit isomorphism fr
Externí odkaz:
http://arxiv.org/abs/2310.00579
This is the second one of the serial papers studying representations over diagrams of abelian categories. We show that under certain conditions a compatible family of abelian model categories indexed by a small category can amalgamate to an abelian m
Externí odkaz:
http://arxiv.org/abs/2308.03067
In arXiv:1811.04649, we extended the Dong-Mason theorem on irreducibility of modules for cyclic orbifold vertex algebras to the entire category weak modules and applied this result to Whittaker modules. In this paper we present further generalization
Externí odkaz:
http://arxiv.org/abs/2212.14137
Representations over diagrams of abelian categories unify quite a few notions appearing widely in literature such as representations of categories, presheaves of modules over categories, representations of species, etc. In this series of papers we st
Externí odkaz:
http://arxiv.org/abs/2210.08558
In this paper, for every $\epsilon\in \mathbb{Z}$, we introduce an extension of the 2-toroidal Lie algebra by certain derivations. Based on the $\phi_\epsilon$-coordinated modules theory for vertex algebras, we give an explicit realization of a class
Externí odkaz:
http://arxiv.org/abs/2203.11641
For a fixed positive integer $k$, any element $g$ of the permutation group $S_{k}$ acts on the tensor product vertex operator algebra $V^{\otimes k}$ in the obvious way. In this paper, we determine the $S$-matrix of $\left(V^{\otimes k}\right)^{G}$ i
Externí odkaz:
http://arxiv.org/abs/2112.10487
Autor:
Li, Haisheng, Yu, Nina
This paper is to study vertex operator superalgebras which are strongly generated by their weight-$2$ and weight-$\frac{3}{2}$ homogeneous subspaces. Among the main results, it is proved that if such a vertex operator superalgebra $V$ is simple, then
Externí odkaz:
http://arxiv.org/abs/2109.12542
For any nullity $2$ extended affine Lie algebra $\mathcal{E}$ of maximal type and $\ell\in\mathbb{C}$, we prove that there exist a vertex algebra $V_{\mathcal{E}}(\ell)$ and an automorphism group $G$ of $V_{\mathcal{E}}(\ell)$ equipped with a linear
Externí odkaz:
http://arxiv.org/abs/2108.09010
Autor:
Yu, Nina1 (AUTHOR), Aboud, Orwa2 (AUTHOR) oaboud@ucdavis.edu
Publikováno v:
Cancers. Mar2024, Vol. 16 Issue 6, p1089. 11p.
Let $V$ be a vertex operator algebra and $g=\left(1\ 2\ \cdots k\right)$ be a $k$-cycle which is viewed as an automorphism of the vertex operator algebra $V^{\otimes k}$. It is proved that Dong-Li-Mason's associated associative algebra $A_{g}\left(V^
Externí odkaz:
http://arxiv.org/abs/2003.12927