4 papers
Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory
Gernot Akemann, Georg Angermann, Mario Kieburg +1
Explicit expressions are proven for derivatives of the ratio of a determinant or Pfaffian determinant and a Vandermonde determinant. Such ratios appear for example in general group…
Row and column detection complexities of character tables
Adrian Padellaro, Sanjaye Ramgoolam, Rak-Kyeong Seong
Character tables of finite groups and closely related commutative algebras have been investigated recently using new perspectives arising from the AdS/CFT correspondence and low-di…
Eigenvalue systems for integer orthogonal bases of multi-matrix invariants at finite N
Adrian Padellaro, Sanjaye Ramgoolam, Ryo Suzuki
Multi-matrix invariants, and in particular the scalar multi-trace operators of SYM with gauge symmetry, can be described using permutation centraliser algebr…
The role of singletons in compactifications
B. E. W. Nilsson, A. Padellaro, C. N. Pope
We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed () with and right…