1) Cartan decomposition Cartan分解1. In this paper,we give the conceptions of real form and Cartan decomposition of affine Kac-Moody Lie algebras,discuss the real form and give all Cartan decomposition of affine Kac-Moody Lie algebras. 将实形式与Cartan分解等概念推广到仿射Kac Moody李代数,系统...
A Cartan decomposition is a vector space decompositiong=t⊕p, where[i]tis a subalgebra,[ii]pis a subspace,[iii][t,p] ⊆p,[iv][p,p] ⊆ t,[v]the Killing form is negative-definite ontand[vi]Killing form ispositive-definite onp. Examples > withDifferentialGeometry&colon...
Cartan decomposition of a two-qutrit gate. Sci China Ser G-Phys Mech Astron, 2008, 51: 1668–1676Di, Y.M., Zhang, J., Wei, H.R.: Cartan decomposition of two-qutrit gate. Sci. China G 51, 1668 (2008)YaoMin Di,Jie Zhang,HaiRui Wei. Cartan decomposition of a two-qutrit ...
3) cartan decomposition 嘉当分解4) cartan formula 嘉当公式5) cartan subgroup 嘉当子群6) Cartan matrix 嘉当矩阵补充资料:嘉当,H. 法国数学家。??.嘉当的长子。1904年7月8日生于南锡,1923年入巴黎高等师范学校,1926年毕业,1928年获博士学位。1928年在中学教书一年,1929年任教于里尔大学。1931年在...
Secherre, An analogue of the Cartan decomposition for p-adic reductive symmetric spaces, prepu- blication, arXiv: math.RT/0612545.P. Delorme, V. Secherre, An analogue of the Cartan decomposition for p-adic reductive symmetric spaces of split p-adic reductive groups, Pacific J. Math. 251 ...
We shall demonstrate that the decomposition of Cartan matrix partly depends on properties of blocks in N covered by B. We are mainly concerned with the block B of G which covers a block b of N with l(b) = 1. In two cases, we will prove that the conjectures on Brauer character ...
Type III factors with unique Cartan decompositionCartan subalgebrasNonsingular equivalence relationsNoncommutative flow of weightsDeformation/rigidity theoryWe prove that for any free ergodic nonsingular nonamenable action Γ(X,μ) of all Γ in a large class of groups including all hyperbolic groups, ...
The author's purpose is to prove the existence of a Cartan decomposition of G with respect to A and K . For technical simplicity the author restricts the considerations to the case when G corresponds to a simply-laced root system (however, the proof of another result, the existence of ...
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For such pairs (L,H), we introduce a herringbone stitch method to find a generalized Cartan decomposition for the double coset space L$¥backslash$G/H, for which there has been no general theory in the non-symmetric case. Our geometric results provides a unified proof of various ...