Results 71 to 80 of about 293 (183)
Curvature in nilpotent Lie groups [PDF]
Proceedings of the American Mathematical Society, 1964 Colloq. Algebraic Topology, 1962, pp. 104-113, Matematisk Institut, Aarhus Universitet, Denmark. 4. M. F. Atiyah, Thom complexes, Proc. London Math. Soc. (3) 11 (1961), 291310. 5. M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 56 (1960), 342-353. 6. Sze-Tsen Hu, Homotopy theory, Pure and Applied Mathematics VIII,
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Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
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Ungauging schemes and Coulomb branches of non-simply laced quiver theories
Journal of High Energy Physics, 2020 Three dimensional Coulomb branches have a prominent role in the study of moduli spaces of supersymmetric gauge theories with 8 supercharges in 3, 4, 5, and 6 dimensions.
Amihay Hanany, Anton Zajac
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Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
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On the Moore Formula of Compact Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition ...
Hatem Hamrouni
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Notes on nilspaces: algebraic aspects
Discrete Analysis, 2017 Notes on nilspaces: algebraic aspects, Discrete Analysis 2017:15, 59 pp. One of the fundamental insights in modern additive combinatorics is that there is a hierarchy of notions of "pseudorandomness" or "higher order Fourier uniformity" that can be ...
Pablo Candela
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Approximate lattices and Meyer sets in nilpotent Lie groups
Discrete Analysis, 2020 Approximate lattices and Meyer sets in nilpotent Lie groups, Discrete Analysis 2020:1, 18 pp. A central result in additive combinatorics, Freiman's theorem, describes the structure of any finite set $A$ of integers with the property that its sumset $A+A$
Simon Machado
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Electronic Journal of Differential Equations, 2003 We consider the Green functions for second order non-coercive differential operators on homogeneous manifolds of negative curvature, being a semi-direct product of a nilpotent Lie group $N$ and $A=mathbb{R}^+$.
Roman Urban
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Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
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Filtrations and canonical coordinates on nilpotent Lie groups [PDF]
Transactions of the American Mathematical Society, 1978 Let g be a finite-dimensional nilpotent Lie algebra over a field of characteristic zero. Introducing the notion of a positive, decreasing filtration 9 on a, the paper studies the multiplicative structure of the universal enveloping algebra {/(g), and also transformation laws between ^-canonical coordinates of the first and second kind associated with ...
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