Through analyzing special properties and structures of Lie group and its Lie algebra,a new steepest descent algorithm on Lie groups is developed. 通过对Lie群及其Lie代数的基本性质及特殊结构的分析,提出了求解一般Lie群上优化问题的最速下降算法,并对算法的收敛性作了一定的分析。 2. And then it was ...
The chapter also defines Campbell-Hausdorff formula. Finally, a continuous homomorphism of Lie groups is analytic is shown. This yields the fact that the analytic structure of a Lie group is uniquely determined by its topology.ELSEVIERPure and Applied Mathematics...
The analytic index for proper, Lie groupoid actions - Paterson () Citation Context ...ators gives rise to a cycle in Kasparov’s G-equivariant bivariant K-theory [{ ¯ ∂Lm + ¯ ∂ ∗ Lm }m∈M] ∈ KKG(C0(S), C0(M)). The Baum-Connes analytical assembly map for group...
A subgroup H of an analytic group G is said to be analytically dense if the only analytic subgroup of G containing H is G itself. The main purpose of this paper is to give sufficient conditions on G (analogous to those of [8], [9], and [7] in the case of Zariski density) which...
M. McCrudden, “Onn-th roots and infinitely divisible elements in a connected Lie group,” Math. Proc. Cambridge Philos. Soc.,89, No. 2, 293–299 (1981). Google Scholar J. Meyer, “Präsentation der Einheitengruppe der quadratischen Form F(X) 20 ” Arch. Math.,29, No. 3, ...
Equivariant analytic torsion for compact Lie group actions - Lott - 1994 () Citation Context ...the results of [2] to complex representation spheres and... J Lott - 《Journal of Functional Analysis》 被引量: 14发表: 1994年 Certain Types of Complex Lie Group Action two representations , one...
One can also consider other classes of manifolds: C1,C2, ana- lytic.It turns out that all of them are equivalent: every C0 Lie group has a unique analytic structure. This is a highly non-trivial result (查看原文) [已注销] 2012-09-04 11:36:52 —— 引自第5页 > 全部原文摘录 ...
An analytic representation of the SU(1,1) Lie group is given and the representation in the unit disk based on the SU(1,1) PCSs for SDFSs is considered.doi:10.1007/s10485-006-9032-9Gamal Mohamed Abd Al-KaderMathematics Department Faculty of Science Al-Azhar University Nasr City 11884 ...
a1)基于Lie群论思想,运用自相似法简化了泰斯井流解析解的求解过程,最终推导出的结果与经典泰斯井流问题的解析解一致。 1) based on the Lie group theory thought, utilized from the similarity method simplified peaceful Si Jingliu the analytic solution solution process, finally inferred the result the questi...
1) analytic group,connected Lie group 解析群 2) analytic semigroup 解析半群 1. We show in this paper the conditionthat strongly elliptic differential operators with singular lower order coefficients belonging to a class of measurable functions which includes the Schecter potential class Mσ,τ,q ...