Results 61 to 70 of about 1,593,546 (194)
On the tightness of left‐invariant contact structures
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley +1 more source
Cartan matrix over the 0-Hecke algebra of type F4
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Cheng-Dong, Chen, Jin, Qian
openaire +1 more source
matrix-toolbox/CHM_scripts: Sinkhorn Algorithm
Several CHM matrices (M-scripts) obtained by the Sinkhorn Algorithm are ...
matrix-toolbox
core +1 more source
On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
Cartan motion groups: regularity of K-finite matrix coefficients
If $G$ is a connected semisimple Lie group with finite center and $K$ is a maximal compact subgroup of G, then the Lie algebra of $G$ admits a Cartan decomposition $\mathfrak{g}=\mathfrak{k}\oplus\mathfrak{p}$.
Dumas, Guillaume
core +6 more sources
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
The Cartan matrix of the Schur algebra S(2, r)
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
$t$-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras
As every simple module of a quiver Hecke algebra appears as the image of the R-matrix defined on the convolution product of certain cuspidal modules, knowing the $\mathbb{Z}$-invariants of the R-matrices between cuspidal modules is quite significant.
Kashiwara, Masaki, Oh, Se-jin
core
Gravitational solitons and non-relativistic string theory
We explore the non-relativistic string theory (NRST) limit of type II string theory and its action on gravitational solitons. As a start, we exhibit in detail that the NRST limit is T-dual to a discrete lightcone limit and can be viewed as a near-BPS ...
Troels Harmark +2 more
doaj +1 more source
Generalized free wreath products and their operator algebras
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley +1 more source

