The invariant theory of n × n matrices

1976/03/01 by C Procesi, Claudio Procesi · 34 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Topics in Algebra #Algebraic Geometry and Number Theory

paper · doi:10.1016/0001-8708(76)90027-x

Cited by

• Simultaneous similarity of matrices
• Free Function Theory Through Matrix Invariants
• A formal inverse to the Cayley-Hamilton theorem
• Pseudo-repr�sentations
• Bargmann invariants and local unitary equivalence
• Galois representations associated to Siegel modular forms of low weight
• Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations
• The ring of multisymmetric functions
• 2-graded polynomial identities for the Jordan algebra of the symmetric\n matrices of order two
• Pseudorepresentations not arising from genuine representations
• Overcrowding and the Finite-N Hilbert Space
• What happened to PI theory?
• Jacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifolds
• Semi-invariants of 2-representations of quivers
• J-trace identities and invariant theory
• Asymptotics for general connections at infinity
• RSK bases and Kazhdan-Lusztig cells
• Collective Theory at Finite-N: Reduction of the Emergent Hilbert Space
• Conditions satisfied by characteristic polynomials in fields and division algebras
• Noncommutative plane curves
• Tropical Fock-Goncharov coordinates for SL₃-webs on surfaces II: naturality
• Combinatorial aspects of Connes's embedding conjecture and asymptotic distribution of traces of products of unitaries
• The solution to the Kadison--Singer Problem: yet another presentation
• Hopf algebras with trace and representations
• Computing Super Matrix Invariants
• Gauge Invariants at Arbitrary N and Trace Relations
• (Reply to)² "Comment on 'Flavor invariants and renormalization-group equations in the leptonic sector with massive Majorana neutrinos' "
• Moduli of linear representations, symmetric products and the non commutative Hilbert scheme
• Non-commutative Edmonds' problem and matrix semi-invariants
• Hilbert Space of Finite N Multi-matrix Models
• Representation Homology, Lie Algebra Cohomology and Derived Harish-Chandra Homomorphism
• Tangent Lie Algebras of Automorphism Groups of Free Algebras
• Quasi-identities on matrices and the Cayley-Hamilton polynomial
• Computing with matrix invariants