Abstract
We define a natural partial order on the orthogonal group and completely describe the intervals in this partial order. The main technical ingredient is that an orthogonal transformation induces a unique orthogonal transformation on each subspace of the orthogonal complement of its fixed subspace.
| Original language | English |
|---|---|
| Pages (from-to) | 3749-3754 |
| Number of pages | 6 |
| Journal | Communications in Algebra |
| Volume | 30 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Aug 2002 |
Keywords
- partial order
- orthogonal group
- intervals
- orthogonal transformation
- subspace
- fixed subspace