The Invariant Theory of Matrices

DOI10.1090/ulect/069zbMath1401.15001OpenAlexW2801508043MaRDI QIDQ4597729

Corrado De Concini, Claudio Procesi

Publication date: 14 December 2017

Published in: University Lecture Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/ulect/069

zbMATH Keywords

complete intersectionSAGBI basismodular invariants

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items (13)

Cayley Hamilton algebras ⋮ Tensors in computations ⋮ Lafforgue pseudocharacters and parities of limits of Galois representations ⋮ Polynomial bound for the nilpotency index of finitely generated nil algebras ⋮ CP violation and flavor invariants in the seesaw effective field theory ⋮ On the images of Galois representations attached to low weight Siegel modular forms ⋮ Nonabelian level structures, Nielsen equivalence, and Markoff triples ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ \(T\)-ideals of Cayley Hamilton algebras ⋮ Norms and Cayley-Hamilton algebras ⋮ Automorphisms of character varieties ⋮ Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn ⋮ Positive maps and trace polynomials from the symmetric group

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