共查询到20条相似文献,搜索用时 15 毫秒
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Shangzhi Li 《Geometriae Dedicata》1989,31(1):41-44
Jack McLaughlin determines all the irreducible subgroups of SL(n, K) generated by root subgroups for commutative fields K. In this paper I do the same thing for noncommutative division rings K. 相似文献
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V. Baranovsky 《Transformation Groups》2001,6(1):3-8
In this paper we prove the dimension and the irreduciblity of the variety parametrizing all pairs of commuting nilpotent matrices. Our proof uses the connection between this variety and the punctual Hilbert scheme of a smooth algebraic surface. 相似文献
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N. L. Gordeev 《Journal of Mathematical Sciences》1984,27(4):2919-2927
A theorem on the structure of the algebra of invariants of the commutant of a group generated by pseudoreflections is improved. In particular, it is shown that this algebra is a complete intersection. A series of counterexamples to Stanley's conjecture is constructed in dimension 4. Results supporting this conjecture for primitive groups of large dimension are given.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 120–130, 1982. 相似文献
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David London 《Linear algebra and its applications》1999,290(1-3):257-266
Let A be a (0, 1)-matrix of order n 3 and let si0(A), i = 1, …, n, be the number of the off diagonal 0's in row and column i of A. We prove that if A is irreducible, and if all its principal submatrices of order (n − 1) are reducible, then si0(A) n − 1; i = 1, …, n. This establishes the validity of a conjecture by B. Schwarz concerning strongly connected graphs and their primal subgraphs. 相似文献
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In this paper we characterize the subsemigroup of Bn (Bn is the multiplicative semigroup of n × n Boolean matrices) generated by all the irreducible matrices, and hence give a necessary and sufficient condition for a Boolean matrix A to be a product of irreducible Boolean matrices. We also give a necessary and sufficient condition for an n × n nonnegative matrix to be a product of nonnegative irreducible matrices. 相似文献
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Carl Faith 《代数通讯》2013,41(4):1807-1810
A right R-module M is (Goldie) finite dimensional (= f.d.) if M contains no infinite direct sums of submodules.M is quotient f.d. (= q.f.d.) if M/K is f.d. for all submodules K.A submodule I of M is subdirectly irreducible (= SDI) if V is the intersection of all submodules S α of M that properly contain I, then V ≠ I, equivalentlyM/I has simple essential socle V/I. A theorem of Shock [74] states that a q.f.d. right module M is Noether-ian iff every proper submodule of M is contained in a maximal submodule. Camillo [77], proved a companion theorem: M is q.f.d. iff every submodule A ≠ 0 contains a finitely generated (= f.g) submodule S such that A/S has no maximal submodules. Using these two results, and an idea of Camillo [75], we prove the theorem stated in the title. 相似文献
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F. G. Timmesfeld 《Geometriae Dedicata》1994,49(3):293-321
LetG be a Chevalley group over the fieldk and the class of long root subgroups ofG or an abstract group generated by a class of k-root subgroups. Then elements ofA, A are called root-elements. This paper is concerned with the question, whether a subgroupU ofG generated by root-elements is already generated byl-root subgroups,l a subfield ofk. Especially if it is shown that this is the case, whenU is a fixpoint subgroup under some set of automorphisms. 相似文献
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B. Roth 《Journal of Functional Analysis》1975,18(4):329-337
Let [(Ω)]p be the Cartesian product of the space of real-valued infinitely differentiable functions on a connected open set Ω in n with itself p-times. The finitely generated submodules of [(Ω)]p are of the form im(F) where F: [(Ω)]q → [(Ω)]p is a p × q matrix of infinitely differentiable functions on Ω. Let . The main results of the present paper are that for Ω ? n, if the finitely generated submodule im(F) is closed in [(Ω)]p, then for every x?ω with rank(F(x)) < r there exists an r × r sub-matrix A of F such that x is a zero of finite order of det(A), and for Ω ? 1 the converse also holds. 相似文献
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This paper considers rational q-parameter matrices (i.e., matrices the entries of which are ratios of scalar polynomials in
q variables) and extends the previous results of the authors. Bibliography: 8 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 248, 1998, pp. 147–164.
Translated by V. N. Kublanovskaya. 相似文献
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M. I. Saluk 《Mathematical Notes》1982,31(3):179-182