3 papers
math-ph2026
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…
hep-th2025
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…
hep-th2025
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…