基本資料 姓名 陳憲揚 系所 應用數學系 職稱 助理教授 校內分機 588 傳真 辦公室/研究室 C504 E-mail hychen@mail.nutn.edu.tw 網址 專長/研究領域 頂點算子代數 Vertex Operator Algebra

 畢業學校 國別 主修學門 學位 修業期間 University of Illinois at Urbana-Champaign US Math 博士 2002~2010

 服務機關 部門 / 系所 職稱 服務期間 中央研究院 數學所 博士後研究 2010/8~2015/7

 著作 名稱 Coset construction of $\mathbb{Z}/3$ orbifold vertex operator algebra $V^ \tau_{ \sqrt{2}A_2}$ 年度 2013 類別 期刊論文 摘要 In this paper, we give a coset construction of the orbifold VOA V√ τ , where τ is an 2A_2 order three automorphism of V√2A2 . The main idea is to use conjugations of several automorphisms of the lattice VOA VE6 , which in some sense are analogous to Frenkel–Lepowsky–Meurman’s triality map. As a consequence, we construct explicitly many intertwining operators among modules of twisted type and obtain lower bounds for their fusion rules. 關鍵字 vertex operator algebra, coset construction 名稱 An explicit Majorana representation of the group$3^2{:}2$ of 3C-pure type 年度 2014 類別 期刊論文 摘要 We study a coset vertex operator algebra (VOA) W in the lattice VOA VE_^38. We show that the coset VOA W is generated by nine Ising vectors such that any two Ising vectors generate a 3C subVOA U3C , and the group generated by the corresponding Miyamoto involutions has shape 3^2 :2. This gives an explicit example for Majorana representations of the group 3^2 :2 of 3C-pure type. 關鍵字 Ising vectors, Majorana representation 名稱 Weyl groups and vertex operator algebras generated by Ising vectors satisfying (2B,3C) condition 年度 2014 類別 期刊論文 摘要 In this paper, we construct explicitly certain moonshine type vertex operator algebras generated by a set of Ising vectors I such that (1) for any e f ∈ I, the subVOA VOA(e, f ) generated by e and f is isomorphic to either U2B or U3C ; and (2) the subgroup generated by the corresponding Miyamoto involutions {τe | e ∈ I} is isomorphic to the Weyl group of a root system of type An , Dn , E6 , E7 or E8 . The structures of the corresponding vertex operator algebras and their Griess alge- bras are also studied. In particular, the central charge of these vertex operator algebras are determined. 關鍵字 Ising vectors, Weyl group 名稱 Fusion rules among irreducible $V_{\sqrt {2}A_2}^\tau$-modules of twisted type, 年度 2015 類別 期刊論文 摘要 In this article, we first compute the quantum dimensions of irreducible Vτ√2A2 -modules. These quantum dimensions give upper bounds on fusion rules among irreducible Vτ√2A2 -modules. Together with the lower bounds obtained by Lam and the author, we determine explicitly fusion rules among all irreducible Vτ√2A2 -modules of twisted type. This work completes the program for determining the fusion rules among irreducible Vτ√2A2 -modules. 關鍵字 Fusion rules, Quantum dimension 名稱 Quantum dimensions and fusion rules of the VOA $V^τ_{L_{C×D}}$, 年度 2016 類別 期刊論文 摘要 關鍵字 vertex operator algebra, quantum dimension