THE CLOSED-POINT ZARISKI TOPOLOGY FOR IRREDUCIBLE REPRESENTATIONS
نویسندگان
چکیده
منابع مشابه
The Closed-point Zariski Topology for Irreducible Representations
In previous work, the second author introduced a topology, for spaces of irreducible representations, that reduces to the classical Zariski topology over commutative rings but provides a proper refinement in various noncommutative settings. In this paper, a concise and elementary description of this refined Zariski topology is presented, under certain hypotheses, for the space of simple left mo...
متن کامل. R A ] 2 7 Ju l 2 00 5 THE CLOSED - POINT ZARISKI TOPOLOGY FOR IRREDUCIBLE REPRESENTATIONS
Abstract. In previous work, the second author introduced a topology, for spaces of irreducible representations, that reduces to the classical Zariski topology over commutative rings but provides a proper refinement in various noncommutative settings. In this paper, a concise and elementary description of this refined Zariski topology is presented, under certain hypotheses, for the space of simp...
متن کاملThe Basic Zariski Topology
We present the Zariski spectrum as an inductively generated basic topology à la Martin-Löf and Sambin. Since we can thus get by without considering powers and radicals, this simplifies the presentation as a formal topology initiated by Sigstam. Our treatment includes closed and open subspaces: that is, quotients and localisations. All the effective objects under consideration are introduced by ...
متن کاملA Closed Character Formula for Symmetric Powers of Irreducible Representations
We prove a closed character formula for the symmetric powers SNV (λ ) of a fixed irreducible representation V (λ ) of a complex semi-simple Lie algebra g by means of partial fraction decomposition. The formula involves rational functions in rank of g many variables which are easier to determine than the weight multiplicities of SNV (λ ) themselves. We compute those rational functions in some in...
متن کاملPRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(operatorname{rad}Q:M)=sqrt{(Q:M)}$. In this paper, we topologize $mathcal{PS}(M)$ with a topology having the Zariski topology on the prime spectrum $operatorname{Spec}(M)$ as a sub...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2006
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498806001922