arXiv
Open Access
2025
On the irreducibility of singular braid group representations
Mohamad N. Nasser
Abstrak
In this article, we study the irreducibility of representations of the singular braid group on $n$ strands, namely $SB_n$. Our first finding is the determination of the forms of all irreducible representations $ρ: SB_2 \to GL_2(\mathbb{C})$. The second finding is the determination of the forms of all irreducible representations $ρ: SB_3 \to GL_2(\mathbb{C})$, together with the introduction of the forms of some irreducible representations $ρ: SB_3 \to GL_3(\mathbb{C})$. The third finding is the study of the irreducibility of the homogeneous local representations of $SB_n$ for all $n\geq 3$.
Topik & Kata Kunci
Penulis (1)
M
Mohamad N. Nasser
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓