Results 31 to 40 of about 460 (128)
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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Solving Particle–Antiparticle and Cosmological Constant Problems
AxiomsWe solve the particle-antiparticle and cosmological constant problems proceeding from quantum theory, which postulates that: various states of the system under consideration are elements of a Hilbert space H with a positive definite metric; each physical
Felix M. Lev
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Adjoints in symmetric squares of Lie algebra representations
14 pages. The $\mu = \overline{\nu}$ case of our Theorem 1.3, as well as our Theorem 1.4, already appear in the literature; we added the relevant ...
Floch, Bruno Le, Smilga, Ilia
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Computing Bonds Between Formal Contexts
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11661-11677, 30 July 2026.ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
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Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting variable, extended by evolutions of ...
Oksana Ye. Hentosh
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.ABSTRACT Deep generative models, particularly denoising diffusion models, have achieved remarkable success in high‐fidelity generation of architected microstructures with desired properties and styles. However, these recent methods typically rely on conditional training mechanisms that require extensive labeled data.
Weipeng Xu +5 more
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Completeness and Cocompleteness Transfer for Internal Group Objects with Geometric Obstructions
MathematicsThis work establishes definitive conditions for the inheritance of categorical completeness and cocompleteness by categories of internal group objects.
Jian-Gang Tang +4 more
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Publications of the Research Institute for Mathematical Sciences, 1978 Let M be a smooth manifold, and ^l(M) the infinite dimensional Lie algebra of all smooth vector fields on M. Let 91 be 9l(M) or a certain natural subalgebra of it. We arc interested in the cohomology #*(9l; V) of $1 with coefficients in some representation V9 which is an invariant of the Lie algebra 21. In 1968, I. M. Gel'fand and D. B.
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Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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