Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 106426 |
Fachzeitschrift | Journal of Pure and Applied Algebra |
Jahrgang | 224 |
Ausgabenummer | 12 |
Frühes Online-Datum | 14 Mai 2020 |
Publikationsstatus | Veröffentlicht - Dez. 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 Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of Pure and Applied Algebra, Jahrgang 224, Nr. 12, 106426, 12.2020.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -