Abstract
We prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen-Macaulay. This result generalizes the similar theorem of Mehta and Ramadas in odd characteristics. Our approach is more elementary and it uses only some standard facts from the theory of modules with good filtrations and the theory of determinantal rings.
Original language | English |
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Pages (from-to) | 271-278 |
Number of pages | 8 |
Journal | Linear Algebra and Its Applications |
Volume | 365 |
Issue number | SPEC. ISS. |
DOIs | |
Publication status | Published - 2003 |
Externally published | Yes |
Keywords
- Cohen-Macaulay rings
- Matrix invariants
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics