id: 06026863
dt: j
an: 06026863
au: Hsin, Ching-I
ti: Dynkin diagrams of basic Lie superalgebras.
so: N. Z. J. Math. 41, 55-64, electronic only (2011).
py: 2011
pu: New Zealand Mathematical Society, Auckland; Department of Mathematics, The
    University of Auckland, Auckland
la: EN
cc: 
ut: basic Lie superalgebra; Dynkin diagram; simple system
ci: 
li: http://nzjm.math.auckland.ac.nz/index.php/Dynkin_Diagrams_of_Basic_Lie_Superalgebras
ab: Summary: A basic Lie superalgebra $\frak g$ has many Dynkin diagrams, due
    to different choices of simple root systems. For $\frak g$ with rank 4
    or lower, all its Dynkin diagrams have already been given explicitly.
    To deal with $\frak g$ with rank higher than 4, this article introduces
    a combinatorial invariant on the Dynkin diagrams. It enables us to
    recognize $\frak g$ from a given Dynkin diagram. In this way, we obtain
    all the Dynkin diagrams of any given basic Lie superalgebra.
rv: