共查询到19条相似文献,搜索用时 93 毫秒
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文[1]讨论了当基域的特征数p>3时,无限维Cartan型李代数的性质.本文证明了当基域的特征数p=2时,由Pfaff微分型定义的无限维的Cartan型单李代数K(m)的滤过不变性.然后讨论了K(m)的自同构与它结合的除幂代数的自同构的关系,证明了K(m)的每个自同构均是由它结合的除幂代数U(m)的自同构所诱导的. 相似文献
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In this paper,we determine the derivation algebra of non-restricted Lie algebra H(n,m) of Cartan type in characteristic p=2.The main reault is following;Der(Hn,m))=adH(n,m)(H^m(n,m Fd). 相似文献
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设L=W或S,F是特征数大于2的域.本文证明了F上的有限维单李超代数L(m,n,t)的自然滤过是不变的.进而得出了L(m,n,t)与L(m′,n′,t′)同构的充要条件是m=m′,n=n′和ti=τ(t′i),i=1,2,…,m,这里τ是{1,2,…,m}的一个置换. 相似文献
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La Mei YUAN 《数学学报(英文版)》2012,28(11):2213-2226
The q-deformation of W (2, 2) Lie algebra is well defined based on a realization of this Lie algebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantum group structures on the q-deformation of W (2, 2) Lie algebra are completely determined. Finally, the 1-dimensional central extension of the q-deformed W (2, 2) Lie algebra is studied, which turns out to be coincided with the conventional W (2, 2) Lie algebra in the q → 1 limit. 相似文献
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特征p=2的Cartan型李代数S(n,m)的导子代数 总被引:2,自引:0,他引:2
文献[1]-[8]讨论了基域特征p>0的有限维Cartan型代数的导子代数,至今,仅剩下P=2时的非限制的Cantan型李代数S(n,m)的导子代数的结构问题没有解决。 相似文献
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Thawhat CHANGPHAS Klaus DENECKE 《数学学报(英文版)》2007,23(4):659-670
Hypersubstitutions are mappings which map operation symbols to terms of the corresponding arities. They were introduced as a way of making precise the concept of a hyperidentity and generalizations to M-hyperidentities. A variety in which every identity is satisfied as a hyperidentity is called solid. If every identity is an M-hyperidentity for a subset M of the set of all hypersubstitutions, the variety is called M-solid. There is a Galois connection between monoids of hypersubstitutions and sublattices of the lattice of all varieties of algebras of a given type. Therefore, it is interesting and useful to know how semigroup or monoid properties of monoids of hypersubstitutions transfer under this Galois connection to properties of the corresponding lattices of M-solid varieties. In this paper, we study the order of each hypersubstitution of type (2, 2), i.e., the order of the cyclic subsemigroup generated by that hypersubstitution of the monoid of all hypersubstitutions of type (2, 2). The main result is that the order is 1, 2, 3, 4 or infinite. 相似文献
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Let k be an algebraically closed field of characteristic p 〉 2, and gl(m|n) be the general linear Lie superalgebra over k. The Cartan invariants for the restricted supermodule category for gl(m|n) are presented. 相似文献
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设L=W或S,F是特征数大于2的域,本文证明F上的有限维单李超代数L(m,n,t)的自然滤过是不变的,进而得出L(m,n,t)与L(m′,n′,t′)同构的充要条件是m=m′,n=n′和ti=τ(t′i),i=1,2,...,m这里τ是(1,2,...,m)的一个置换。 相似文献
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Nonsingularity on Level—2(r1,r2)—circulant Matrices of Type(m,n) 总被引:8,自引:2,他引:6
NonsingularityonLevel-2(r_1,r_2)-circulantMatricesofType(m,n)JiangZhaolin(江兆林)(Dept.ofMath.,LinyiTeacher'sCollege,Shandong,Lin... 相似文献
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Characterizations of ( m,n )-Jordan Derivations and ( m,n )-Jordan Derivable Mappings on Some Algebras 下载免费PDF全文
Let R be a ring, M be a R-bimodule and m, n be two fixed nonnegative integers with m + n = 0. An additive mapping δ from R into M is called an(m, n)-Jordan derivation if(m +n)δ(A~2) = 2 mAδ(A) + 2nδ(A)A for every A in R. In this paper, we prove that every(m, n)-Jordan derivation with m = n from a C*-algebra into its Banach bimodule is zero. An additive mappingδ from R into M is called a(m, n)-Jordan derivable mapping at W in R if(m + n)δ(AB + BA) =2mδ(A)B + 2 mδ(B)A + 2 nAδ(B) + 2 nBδ(A) for each A and B in R with AB = BA = W. We prove that if M is a unital A-bimodule with a left(right) separating set generated algebraically by all idempotents in A, then every(m, n)-Jordan derivable mapping at zero from A into M is identical with zero. We also show that if A and B are two unital algebras, M is a faithful unital(A, B)-bimodule and U = [A M N B] is a generalized matrix algebra, then every(m, n)-Jordan derivable mapping at zero from U into itself is equal to zero. 相似文献
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Mark Curtis Wilson 《Proceedings of the American Mathematical Society》1996,124(2):383-387
We show that a primeness criterion for enveloping algebras of Lie superalgebras discovered by Bell is applicable to the Cartan type Lie superalgebras , even. Other algebras are considered but there are no definitive answers in these cases.
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In this paper,the derivation algebra of Lie superalgebra H of Cartan-type over F are determined by the calculating method in the situations of CharF = p≥ 3 or m ≥ 2 or n≥1.The main result is following:DerFH=adH(H" Fh)⊕<{adDi)pt|i=1,2,…,m,t=1,2,…,ti-1}>. 相似文献
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设R是一个环,M是一个R-双边模,m和n是两个非负整数满足m+n≠0,如果δ是一个从R到M的可加映射满足对任意A∈R,(m+n)δ(A~2)=2mAδ(A)+2nδ(A)A,则称δ是一个(m,n)-Jordan导子.本文证明了,如果R是一个单位环,M是一个单位R-双边模含有一个由R中幂等元代数生成的左(右)分离集,那么,当m,n0且m≠n时,每一个从R到M的(m,n)-Jordan导子恒等于零.还证明了,如果A和B是两个单位环,M是一个忠实的单位(A,B)-双边模(N是一个忠实的单位(B,A)-双边模),m,n0且m≠n,U=[A N M B]是一个|mn(m-n)(m+n)|-无挠的广义矩阵环,那么每一个从U到自身的(m,n)-Jordan导子恒等于零. 相似文献