@article{c1049d311d5c49f3ac87893128ee6f8b,
title = "Zhu's algebras, C2-algebras and abelian radicals",
abstract = "This paper consists of three parts. In the first part we prove that Zhu's and C2-algebras in type A have the same dimensions. In the second part we compute the graded decomposition of the C2-algebras in type A, thus proving the Gaberdiel-Gannon conjecture. Our main tool is the theory of abelian radicals, which we develop in the third part.",
keywords = "C2-algebra, Multiplicity free action, Spherical variety, Vertex operator algebra, Zhu's algebra",
author = "Boris Feigin and Evgeny Feigin and Peter Littelmann",
note = "Funding Information: The work of E.F. was partially supported by the RFBR Grants 09-01-00058, 07-02-00799 and NSh-3472.2008.2, by Pierre Deligne fund based on his 2004 Balzan prize in mathematics and by Alexander von Humboldt Fellowship. The work of B.F. was partially supported by RFBR initiative interdisciplinary project 09-02-12446-ofi-m and by RFBR-CNRS grant 09-02-93106. The work of P.L. was partially supported by the priority program SPP 1377 of the German Science Foundation.",
year = "2011",
month = mar,
day = "1",
doi = "10.1016/j.jalgebra.2010.03.005",
language = "אנגלית",
volume = "329",
pages = "130--146",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "1",
}