arXiv
Open Access
2014
On families of anticommuting matrices
Pavel Hrubeš
Abstrak
Let $e_{1},\dots, e_{k}$ be complex $n\times n$ matrices such that $e_{i}e_{j}=-e_{j}e_{i}$ whenever $i\not=j$. We conjecture that $\hbox{rk}(e_{1}^{2})+\hbox{rk}(e_{2}^{2})+\cdots+\hbox{rk}(e_{k}^{2})\leq O(n\log n)$, and prove some results in this direction.
Penulis (1)
P
Pavel Hrubeš
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2014
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓