For classical Weyl groups with reflections of odd superdegree, the generated Lie superalgebra equals the derived subalgebra of the group algebra plus the span of the reflection class sums.
Marin, L’alg` ebre de Lie des transpositions, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Lie Superalgebras Generated by Reflections in Weyl Groups of Classical Type
For classical Weyl groups with reflections of odd superdegree, the generated Lie superalgebra equals the derived subalgebra of the group algebra plus the span of the reflection class sums.