Modular representations of $p$-groups with regular rings of invariants
نویسندگان
چکیده
منابع مشابه
RINGS OF INVARIANTS FOR MODULAR REPRESENTATIONS OF ELEMENTARY ABELIAN p-GROUPS
∗ We initiate a study of the rings of invariants of modular representations of elementary abelian p-groups. With a few notable exceptions, the modular representation theory of an elementary abelian p-group is wild. However, for a given dimension, it is possible to parameterise the representations. We describe parameterisations for modular representations of dimension two and of dimension three....
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We study separating algebras for rings of invariants of finite groups. We describe a separating subalgebra for invariants of p-groups in characteristic p using only transfers and norms. Also we give an explicit construction of a separating set for invariants of groups acting diagonally. Let F be an algebraically closed field and let G be a finite group. Consider a faithful representation ρ : G ...
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1.1. The case ` 6= p. In this case, we are in the setting of the classical Local Langlands Correspondence, which can be stated (roughly) as follows: Let n ≥ 1. We then have an injective map (1) continuous representations of Gal(Qp/Qp) on n-dimensional Q`-vector spaces, up to isomorphism ↪−→ irreducible, admissible representations of GLn(Qp) on Q`-vector spaces, up to isomor...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1980
ISSN: 0386-2194
DOI: 10.3792/pjaa.56.469