Defining relations for the algebra of invariants of \(2\times 2\) matrices

DOI10.1023/A:1023266314025zbMath1026.16009OpenAlexW139468346MaRDI QIDQ1811028

Vesselin Drensky

Publication date: 9 June 2003

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023266314025

zbMATH Keywords

generic matricesactions of general linear groupsdefining relations of matrix invariants

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (14)

Simultaneous similarity and triangularization of sets of 2 by 2 matrices ⋮ Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series ⋮ Invariants of \(2 \times 2\) matrices, irreducible \(\mathbf{SL}(2,\mathbb C)\) characters and the Magnus trace map ⋮ Defining relations of the noncommutative trace algebra of two \(3\times 3\) matrices. ⋮ Local structure of \(\mathcal {SU}(3)\) for a curve of genus 2 ⋮ The separating variety for 2 × 2 matrix invariants ⋮ Computing SL\((2,\mathbb{C})\) central functions with spin networks ⋮ Hilbert functions of certain rings of invariants via representations of the symmetric groups (with an appendix by Dejan Govc) ⋮ An \(L_2\)-quotient algorithm for finitely presented groups on arbitrarily many generators. ⋮ Rank 1 character varieties of finitely presented groups ⋮ Minimal affine coordinates for SL\((3,\mathbb C)\) character varieties of free groups ⋮ Defining relations of invariants of two \(3\times 3\) matrices. ⋮ Gröbner bases for the rings of special orthogonal and \(2\times 2\) matrix invariants ⋮ Solving the isomorphism problems for two families of parafree groups

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