Details
| Original language | English |
|---|---|
| Article number | 106426 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 224 |
| Issue number | 12 |
| Early online date | 14 May 2020 |
| Publication status | Published - Dec 2020 |
Abstract
In this paper we study irreducible tensor products of representations of alternating groups in characteristic 2 and 3. In characteristic 3 we completely classify irreducible tensor products, while in characteristic 2 we completely classify irreducible tensor products where neither factor in the product is a basic spin module. In characteristic 2 we also give some necessary conditions for the tensor product of an irreducible module with a basic spin module to be irreducible.
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of Pure and Applied Algebra, Vol. 224, No. 12, 106426, 12.2020.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Irreducible tensor products for alternating groups in characteristics 2 and 3
AU - Morotti, Lucia
N1 - Funding Information: The author was supported by the DFG grant MO 3377/1-1 .
PY - 2020/12
Y1 - 2020/12
N2 - In this paper we study irreducible tensor products of representations of alternating groups in characteristic 2 and 3. In characteristic 3 we completely classify irreducible tensor products, while in characteristic 2 we completely classify irreducible tensor products where neither factor in the product is a basic spin module. In characteristic 2 we also give some necessary conditions for the tensor product of an irreducible module with a basic spin module to be irreducible.
AB - In this paper we study irreducible tensor products of representations of alternating groups in characteristic 2 and 3. In characteristic 3 we completely classify irreducible tensor products, while in characteristic 2 we completely classify irreducible tensor products where neither factor in the product is a basic spin module. In characteristic 2 we also give some necessary conditions for the tensor product of an irreducible module with a basic spin module to be irreducible.
UR - http://www.scopus.com/inward/record.url?scp=85084674134&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2020.106426
DO - 10.1016/j.jpaa.2020.106426
M3 - Article
VL - 224
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 12
M1 - 106426
ER -