Results 51 to 60 of about 293 (183)
Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
ریاضی و جامعهThe Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim +2 more
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HYPERKÄHLER STRUCTURES WITH TORSION ON NILPOTENT LIE GROUPS [PDF]
Glasgow Mathematical Journal, 2003 Let \((M, g, I, J, K)\) be a hyper-Hermitian manifold. The manifold \(M\) (or equivalently, the metric \(g\)) is called hyper-Kähler with torsion (HKT) if \(\nabla g = \nabla I = \nabla J = \nabla K = 0\) and the torsion tensor \(c (X, Y, Z) = g (T (X, Y), Z)\) is totally skew, where \(\nabla\) is the Levi-Cività connection and \(T\) is the torsion of \
Feix, Birte, Pedersen, Henrik
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Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña +2 more
wiley +1 more source
Exceptional families of measures on Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
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Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
wiley +1 more source
Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
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Hypoelliptic Heat Kernels on Nilpotent Lie Groups
Potential Analysis, 2016 The starting point of our analysis is an old idea of writing an eigenfunction expansion for a heat kernel considered in the case of a hypoelliptic heat kernel on a nilpotent Lie group $G$. One of the ingredients of this approach is the generalized Fourier transform. The formula one gets using this approach is explicit as long as we can find all unitary
Asaad, Malva, Gordina, Maria
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Isotopies of complete minimal surfaces of finite total curvature
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
wiley +1 more source
Quiver theories and Hilbert series of classical Slodowy intersections
Nuclear Physics B, 2020 We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including 3dN=4, and Classical gauge groups. The vacuum moduli spaces of many such theories can be parameterised by pairs of nilpotent orbits of
Amihay Hanany, Rudolph Kalveks
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source