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排序方式: 共有2435条查询结果,搜索用时 15 毫秒
91.
Jacques Helmstetter 《Advances in Applied Clifford Algebras》2008,18(2):153-196
A meson algebra is involved in the Duffin wave equation for mesons in the same way as a Clifford algebra is involved in the
Dirac wave equation for electrons. Therefore meson algebras too should have geometrical properties after the manner of Grassmann.
Actually it is possible to define interior multiplications with similar properties, and deformations too. Every meson algebra
is a deformation of a neutral meson algebra, in the same way as (almost) every Clifford algebra is a deformation of an exterior
algebra. Some applications follow: the PBW-property is proved for all meson algebras, the injectiveness of Jacobson’s diagonal
morphism is proved with the minimal hypothesis, and the existence of Lipschitz monoids is established at least for meson algebras
over fields.
相似文献
92.
J. Kališnik 《Indagationes Mathematicae》2008,19(1):73-96
Any étale Lie groupoid G is completely determined by its associated convolution algebra Cc∞(G) equipped with the natural Hopfalgebroid structure. We extend this result to the generalized morphisms between étale Lie groupoids: we show that any principal H-bundle P over G is uniquely determined by the associated Cc∞(G)-Cc∞(H)-bimodule Cc∞(P) equipped with the natural coalgebra structure. Furthermore, we prove that the functor Cc∞gives an equivalence between the Morita category of étale Lie groupoids and the Morita category of locally grouplike Hopf algebroids. 相似文献
93.
Gena Puninski 《Journal of Pure and Applied Algebra》2008,212(4):704-717
We construct an element in a direct product of finite dimensional modules over a string algebra such that the pure-injective envelope of this element is a superdecomposable module. 相似文献
94.
Hamid Usefi 《Journal of Pure and Applied Algebra》2008,212(10):2182-2189
Let G be a group, S a subgroup of G, and F a field of characteristic p. We denote the augmentation ideal of the group algebra FG by ω(G). The Zassenhaus-Jennings-Lazard series of G is defined by Dn(G)=G∩(1+ωn(G)). We give a constructive proof of a theorem of Quillen stating that the graded algebra associated with FG is isomorphic as an algebra to the enveloping algebra of the restricted Lie algebra associated with the Dn(G). We then extend a theorem of Jennings that provides a basis for the quotient ωn(G)/ωn+1(G) in terms of a basis of the restricted Lie algebra associated with the Dn(G). We shall use these theorems to prove the main results of this paper. For G a finite p-group and n a positive integer, we prove that G∩(1+ω(G)ωn(S))=Dn+1(S) and G∩(1+ω2(G)ωn(S))=Dn+2(S)Dn+1(S∩D2(G)). The analogous results for integral group rings of free groups have been previously obtained by Gruenberg, Hurley, and Sehgal. 相似文献
95.
Xinyun Zhu 《Linear algebra and its applications》2008,428(4):919-929
We show that under certain conditions, the N = 1 types A and D quivers are of finite representation type. 相似文献
96.
97.
Ragnar-Olaf Buchweitz 《Advances in Mathematics》2008,217(1):205-242
We introduce Hochschild (co-)homology of morphisms of schemes or analytic spaces and study its fundamental properties. In analogy with the cotangent complex we introduce the so-called (derived) Hochschild complex of a morphism; the Hochschild cohomology and homology groups are then the Ext and Tor groups of that complex. We prove that these objects are well defined, extend the known cases, and have the expected functorial and homological properties such as graded commutativity of Hochschild cohomology and existence of the characteristic homomorphism from Hochschild cohomology to the (graded) centre of the derived category. 相似文献
98.
Let G be a torsionfree compact p-adic analytic group. We give sufficient conditions on p and G which ensure that the Iwasawa algebra ΩG of G has no non-trivial two-sided reflexive ideals. Consequently, these conditions imply that every non-zero normal element in ΩG is a unit. We show that these conditions hold in the case when G is an open subgroup of SL2(Zp) and p is arbitrary. Using a previous result of the first author, we show that there are only two prime ideals in ΩG when G is a congruence subgroup of SL2(Zp): the zero ideal and the unique maximal ideal. These statements partially answer some questions asked by the first author and Brown. 相似文献
99.
100.
Miles Holloway 《Archiv der Mathematik》2008,90(4):311-316
We answer a question raised in [9] by showing the equality of two different definitions of rank variety for finitely generated
modules over truncated polynomial algebras. We do this by establishing an isomorphism of algebras used in the two definitions
of rank variety.
Received: 23 April 2007 相似文献