naa a22 4500 510783694 CHVBK 20180411083255.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11856-013-0031-x doi (NATIONALLICENCE)springer-10.1007/s11856-013-0031-x A non-recursive criterion for weights of a highest-weight module for an affine Lie algebra [Elektronische Daten] [O. Barshevsky, M. Fayers, M. Schaps] Let Λ be a dominant integral weight of level k for the affine Lie algebra g and let α be a non-negative integral combination of simple roots. We address the question of whether the weight η = Λ − α lies in the set P(Λ) of weights in the irreducible highest-weight module with highest weight Λ. We give a non-recursive criterion in terms of the coefficients of α modulo an integral lattice kM, where M is the lattice parameterizing the abelian normal subgroup T of the Weyl group. The criterion requires the preliminary computation of a set no larger than the fundamental region for kM, and we show how this set can be efficiently calculated. Hebrew University Magnes Press, 2013 Barshevsky O. Department of Mathematics, Bar-Ilan University, 52900, Ramat Gan, Israel aut Fayers M. Queen Mary University of London, Mile End Road, E1 4NS, London, UK aut Schaps M. Department of Mathematics, Bar-Ilan University, 52900, Ramat Gan, Israel aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 237-261 0021-2172 197:1<237 2013 197 11856 https://doi.org/10.1007/s11856-013-0031-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0031-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barshevsky O. Department of Mathematics, Bar-Ilan University, 52900, Ramat Gan, Israel aut NATIONALLICENCE 700 1- Fayers M. Queen Mary University of London, Mile End Road, E1 4NS, London, UK aut NATIONALLICENCE 700 1- Schaps M. Department of Mathematics, Bar-Ilan University, 52900, Ramat Gan, Israel aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 237-261 0021-2172 197:1<237 2013 197 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer