共查询到20条相似文献,搜索用时 31 毫秒
1.
2.
We classify the 6-dimensional Lie algebras of the form that admit an integrable complex structure. We also endow a Lie algebra of the kind () with such a complex structure. The motivation comes from geometric structures à la Sasaki on -manifolds. 相似文献
3.
4.
5.
6.
7.
8.
9.
10.
11.
In this paper we determine the projective unitary representations of finite dimensional Lie supergroups whose underlying Lie superalgebra is , where is a compact simple Lie superalgebra and A is a supercommutative associative (super)algebra; the crucial case is when is a Graßmann algebra. Since we are interested in projective representations, the first step consists in determining the cocycles defining the corresponding central extensions. Our second main result asserts that, if is a simple compact Lie superalgebra with , then each (projective) unitary representation of factors through a (projective) unitary representation of itself, and these are known by Jakobsen's classification. If , then we likewise reduce the classification problem to semidirect products of compact Lie groups K with a Clifford–Lie supergroup which has been studied by Carmeli, Cassinelli, Toigo and Varadarajan. 相似文献
12.
13.
14.
Given a local domain of prime characteristic that is a homomorphic image of a Gorenstein ring, Huneke and Lyubeznik proved that there exists a module-finite extension domain S such that the induced map on local cohomology modules is zero for each . We prove that the extension S may be chosen to be generically Galois, and analyze the Galois groups that arise. 相似文献
15.
16.
17.
18.
Frédéric Gourdeau Michael C. White 《Journal of Mathematical Analysis and Applications》2012,386(2):921-932
The main objective of this paper is to determine the simplicial and cyclic cohomology groups of the Cuntz semigroup algebra . We also determine the simplicial and cyclic cohomology of the tensor algebra of a Banach space, a class which includes the algebra on the free semigroup on m-generators . In order to do so, we first establish some general results which can be used when studying simplicial and cyclic cohomology of Banach algebras in general. We then turn our attention to , showing that the cyclic cohomology groups of degree n vanish when n is odd and are one-dimensional when n is even (). Using the Connes–Tzygan exact sequence, these results are used to show that the simplicial cohomology groups of degree n vanish for . A similar strategy is used for the tensor algebra of a Banach space. 相似文献
19.
Let A be an Abelian variety defined over a number field k. Let P be a point in and let X be a subgroup of . Gajda and Kowalski asked in 2002 whether it is true that the point P belongs to X if and only if the point belongs to for all but finitely many primes of k. We provide a counterexample. 相似文献
20.
Marius Tărnăuceanu 《Comptes Rendus Mathematique》2018,356(8):843-845
In this note, we prove that the centralizer lattice of a group G cannot be written as a union of two proper intervals. In particular, it follows that has no breaking point. As an application, we show that the generalized quaternion 2-groups are not capable. 相似文献