Related Experiment Video
Updated: Aug 9, 2026

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Young-Capelli symmetrizers in superalgebras
1Dipartimento di Matematica, Universita di Bari, 70125 Bari, Italy.
Abstract:
Let Super(n)[U [unk] V] be the nth homogeneous subspace of the supersymmetric algebra of U [unk] V, where U and V are Z(2)-graded vector spaces over a field K of characteristic zero. The actions of the general linear Lie superalgebras pl(U) and pl(V) span two finite-dimensional K-subalgebras B and [unk] of End(K)(Super(n)[U [unk] V]) that are the centralizers of each other. Young-Capelli symmetrizers and Young-Capelli *-symmetrizers give rise to K-linear bases of B and [unk] containing orthogonal systems of idempotents; thus they yield complete decompositions of B and [unk] into minimal left and right ideals, respectively.
Related Concept Videos
Symmetry in Maxwell's Equations
Unsymmetric Bending
Symmetry
Gauss's Law: Planar Symmetry
SFG Algebra
Each node in an SFG corresponds to a variable, and the interactions between nodes are represented by branches with associated gains. When multiple branches lead into a node, the value at that node is the sum of the...
Symmetric Member in Bending

