Singular BGG complexes for the symplectic case

11/03/2020 Rafael Mrđen 0

Author: Rafael Mrđen Mathematical Communications 25(2020), 13–34. Abstract: Using the Penrose transform, we construct analogues of the BGG (Bernstein-Gelfand-Gelfand) resolutions in certain singular infinitesimal characters, in the holomorphic geometric setting, over the Lagrangian Grassmannian. We prove the exactness of the constructed complex over the big affine cell.

Conformal embeddings in affine vertex superalgebras

27/11/2019 Rafael Mrđen 0

Authors: Dražen Adamović, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Advances in Mathematics, Volume 360, 22 January 2020, 106918 Abstract: This paper is a natural continuation of our previous work on conformal embeddings of vertex algebras [6], [7], [8]. Here we consider conformal embeddings in simple affine vertex superalgebra  where  is a basic classical simple Lie superalgebra. Let  be the subalgebra of  generated […]

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 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); 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, […]

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