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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, […]

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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 […]

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Leading terms of relations for standard modules of the affine Lie algebras C^{(1)}_n

26/10/2018 Rafael Mrđen 0

Authors: Mirko Primc, Tomislav Šikić The Ramanujan Journal, pp 1–35. https://doi.org/10.1007/s11139-018-0052-5 Abstract: In this paper, we give a combinatorial parametrization of leading terms of defining relations for the vacuum level  standard modules for the affine Lie algebra of type . Using this parametrization, we conjecture colored Rogers–Ramanujan type combinatorial identities for and ; the identity in the […]