TY - JOUR
T1 - SINGULARITIES OF CLOSURES OF B-CONJUGACY CLASSES OF NILPOTENT ELEMENTS OF HEIGHT 2
AU - Bender, M.
AU - Perrin, N.
N1 - Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2019/9/15
Y1 - 2019/9/15
N2 - We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height 2 in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type A or the element has rank 2.
AB - We prove that for a simply laced group, the closure of the Borel conjugacy class of any nilpotent element of height 2 in its conjugacy class is normal and admits a rational resolution. We extend this, using Frobenius splitting techniques, to the closure in the whole Lie algebra if either the group has type A or the element has rank 2.
U2 - 10.1007/s00031-018-9505-6
DO - 10.1007/s00031-018-9505-6
M3 - Article
AN - SCOPUS:85056119777
SN - 1083-4362
VL - 24
SP - 741
EP - 768
JO - Transformation Groups
JF - Transformation Groups
IS - 3
ER -