An exact category satisfies the Jordan-Hölder property if and only if its Grothendieck monoid is free, with a rank-counting criterion and a permutation-combinatorics application to type A quivers.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
The Jordan-H\"older property and Grothendieck monoids of exact categories
An exact category satisfies the Jordan-Hölder property if and only if its Grothendieck monoid is free, with a rank-counting criterion and a permutation-combinatorics application to type A quivers.