Jedinica za teoriju reprezentacija Liejevih algebri, teoriju brojeva i pridružene strukture – Page 4

On parafermion vertex algebras of $\mathfrak{sl}(2)$ and $\mathfrak{sl}(3)$ at level $-\frac{3}{2}$

07/12/2020 Rafael Mrđen 0

Authors: Dražen Adamović, Antun Milas, Qing Wang Communications in Contemporary Mathematics (2020) https://doi.org/10.1142/S0219199720500868 Published online 30.9.2020

On some vertex algebras related to $V_{-1}(\mathfrak{sl}(n))$ and their characters

07/12/2020 Rafael Mrđen 0

Authors: Dražen Adamović, Antun Milas Transformation Groups (2020) https://doi.org/10.1007/s00031-020-09617-w Published online 10.9.2020.

Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels

27/08/2020 Rafael Mrđen 0

Authors: Dražen Adamović, Ana Kontrec Journal of Algebra and its applications (2020), https://doi.org/10.1142/S0219498821501024 Abstract: We study the representation theory of the Bershadsky-Polyakov algebra . In particular, Zhu algebra of is isomorphic to a certain quotient of the Smith algebra, after changing the Virasoro vector. We classify all modules in the category for the Bershadsky-Polyakov algebra […]

On Zhu’s algebra and $C_2$ –algebra for symplectic fermion vertex algebra $SF(d)^+$

27/08/2020 Rafael Mrđen 0

Authors: Dražen Adamović, Ante Čeperić Journal of Algebra, Volume 563, 1 December 2020, Pages 376-403, https://doi.org/10.1016/j.jalgebra.2020.07.019 Abstract: In this paper, we study the family of vertex operator algebras , known as symplectic fermions. This family is of a particular interest because these VOAs are irrational and -cofinite. We determine Zhu’s algebra and show that the equality of dimensions of and the -algebra holds for d≥2 (the […]

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