Spaces of generators for the \(2 \times 2\) complex matrix algebra

MaRDI QIDQ6574901

Ben Williams, W. S. Gant

Publication date: 19 July 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

matrix algebrasgenerators of Azumaya algebrasspaces of generators

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Classical real and complex (co)homology in algebraic geometry (14F25) Basic linear algebra (15A99) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

• Unnamed Item
• On the number of generators of an algebra
• The invariant theory of \(n\times n\) matrices
• Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
• The simplest proof of Burnside's theorem on matrix algebras
• Algebraic invariants for a set of matrices
• On Azumaya algebras and finite dimensional representations of rings
• Introduction to Smooth Manifolds
• Matrix Analysis
• Trace rings of generic 2 by 2 matrices
• Geometric Invariant Theory
• The Cohomology of BSO n and BO n with Integer Coefficients
• Classifying spaces for étale algebras with generators
• On the number of generators of an algebra over a commutative ring
• Simultaneous similarity of matrices

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