Istraživačke jedinice – Page 6

On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras

22/08/2019 Rafael Mrđen 0

Authors: Dražen Adamović, Ching Hung Lam, Veronika Pedić, Nina Yu Journal of Algebra, Volume 539, 1 December 2019, Pages 1-23 https://doi.org/10.1016/j.jalgebra.2019.08.007 Abstract: We extend the Dong-Mason theorem on irreducibility of modules for orbifold vertex algebras (cf. [18]) to the category of weak modules. Let V be a vertex operator algebra, g an automorphism of order p. Let W be an irreducible weak V–module such that […]

On fusion rules and intertwining operators for the Weyl vertex algebra

07/08/2019 Rafael Mrđen 0

Authors: Dražen Adamović, Veronika Pedić Journal of Mathematical Physics 60, 081701 (2019); https://doi.org/10.1063/1.5098128 Abstract: In vertex algebra theory, fusion rules are described as the dimension of the vector space of intertwining operators between three irreducible modules. We describe fusion rules in the category of weight modules for the Weyl vertex algebra. This way, […]

Realizations of Simple Affine Vertex Algebras and Their Modules: The Cases $\widehat{sl(2)}$ and $\widehat{osp(1,2)}$

02/02/2019 Rafael Mrđen 0

Author: Dražen Adamović Communications in Mathematical Physics, pp 1–43 https://doi.org/10.1007/s00220-019-03328-4 Abstract: We study the embeddings of the simple admissible affine vertex algebras and , into the tensor product of rational Virasoro and N = 1 Neveu–Schwarz vertex algebra with lattice vertex algebras. By using these realizations we construct a family of weight, […]

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2l-1}^{(2)}, D_l^{(2)}, E_6^{(2)}$ and $D_4^{(3)}$

18/01/2019 Rafael Mrđen 0

Authors: Butorac Marijana, Sadowski Christopher New York Journal of Mathematics, Volume 25 (2019), 71-106 http://nyjm.albany.edu/j/2019/25-3.html Abstract: We construct combinatorial bases of principal subspaces of standard modules of level with highest weight for the twisted affine Lie algebras of type , , and . Using these bases we directly calculate characters of […]