Representations of finite rings
نویسندگان
چکیده
منابع مشابه
Representations of Reductive Groups over Finite Rings
In this paper we construct a family of irreducible representations of a Chevalley group over a finite ring R of truncated power series over a field Fq . This is done by a cohomological method extending that of Deligne and the author in the case R = Fq .
متن کاملKernel representations for behaviors over finite rings
In behavioral theory, a central role is played by the set B of trajectories that belong to a dynamical system Σ, see the textbook [11]. In fact, the dynamical system is defined as a triple Σ = (T,W,B), where T is the time axis, W is the signal alphabet, and where B, the behavior of the system, is a subset of W. In this paper we consider dynamical systems Σ = (Z+,R ,B), where R is the ring Zpr ....
متن کاملUnramified Representations of Reductive Groups over Finite Rings
Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields. We generalize Lusztig’s results to reductive groups over arbitrary finite local rings. This generalization uses the Greenberg functor and the theor...
متن کاملRedundant Radix Representations of Rings
ÐThis paper presents an analysis of radix representations of elements from general rings; in particular, we study the questions of redundancy and completeness in such representations. Mappings into radix representations, as well as conversions between such, are discussed, in particular where the target system is redundant. Results are shown valid for normed rings containing only a finite number...
متن کاملRepresentations of Graphs by Rings
A graph is representable by a ring if its vertices can be labeled with distinct ring elements so the difference of the labels is a unit in the ring if and only if the vertices are adjacent. We explore representation by rings composed of the direct products of cyclic rings, including an upper bound on the representation number for a graph with a fixed number of vertices and representation number...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1974
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1974.53.643