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Vertex algebras and related topics, May 24th – 27th, 2018

17/05/2018 Rafael Mrđen 0

A workshop in honor of Mirko Primc on his 70th birthday Sponsored by QuantiXLie and Croatian Science Foundation https://web.math.pmf.unizg.hr/congress/Zagreb-VOA-18/ About Vertex algebras and related topics is an international mini workshop on vertex algebras, affine Kac-Moody Lie algebras, quantum affine algebras and combinatorial identities. The workshop program will include invited talks of eminent researchers in […]

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Self-dual and logarithmic representations of the twisted Heisenberg–Virasoro algebra at level zero

02/04/2018 Rafael Mrđen 0

Dražen Adamović and Gordan Radobolja, Commun. Contemp. Math. https://doi.org/10.1142/S0219199718500086 This paper is a continuation of [D. Adamović and G. Radobolja, Free field realization of the twisted Heisenberg–Virasoro algebra at level zero and its applications, J. Pure Appl. Algebra 219(10) (2015) 4322–4342]. We present certain new applications and generalizations of the free field realization of the twisted […]

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On the classification of non-equal rank affine conformal embeddings and applications

20/02/2018 Rafael Mrđen 0

Authors: Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Selecta Mathematica, pp 1–44 https://doi.org/10.1007/s00029-017-0386-7 Abstract: We complete the classification of conformal embeddings of a maximally reductive subalgebra  a simple Lie algebra  at non-integrable non-critical levels k by dealing with the case when  has rank less than that of . We describe some remarkable instances […]

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Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results

20/02/2018 Rafael Mrđen 0

Authors: Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše Journal of Algebra, Volume 500, 2018, Pages 117-152, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2016.12.005 (http://www.sciencedirect.com/science/article/pii/S0021869316304604) Abstract: We find all values of , for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra is conformal, where ,is […]