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

Friday October 26th, 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 […]

An Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras

Friday October 26th, 2018 Rafael Mrđen 0

Authors: Dražen Adamović, Victor G Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše International Mathematics Research Notices, rny237, https://doi.org/10.1093/imrn/rny237 Abstract: We discover a large class of simple affine vertex algebras , associated to basic Lie superalgebras  at non-admissible collapsing levels , having exactly one irreducible -locally finite module in the category . In the case when  is […]