Weyl alternation sets, the group elements that actually matter in Kostant's multiplicity formula, are always order ideals, and for sl_{r+1} they are fully described and counted for negative roots.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The support of Kostant's weight multiplicity formula is an order ideal in the weak Bruhat order
Weyl alternation sets, the group elements that actually matter in Kostant's multiplicity formula, are always order ideals, and for sl_{r+1} they are fully described and counted for negative roots.