DOAJ
Open Access
2009
Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
Nathaniel Thiem
Abstrak
It is becoming increasingly clear that the supercharacter theory of the finite group of unipotent upper-triangular matrices has a rich combinatorial structure built on set-partitions that is analogous to the partition combinatorics of the classical representation theory of the symmetric group. This paper begins by exploring a connection to the ring of symmetric functions in non-commuting variables that mirrors the symmetric group's relationship with the ring of symmetric functions. It then also investigates some of the representation theoretic structure constants arising from the restriction, tensor products and superinduction of supercharacters.
Topik & Kata Kunci
Penulis (1)
N
Nathaniel Thiem
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2009
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.2698
- Akses
- Open Access ✓