Results 41 to 50 of about 56,226 (149)
Deformations of Lie 2-algebras
, 2013 In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a 2-cocycle of $\g$ with the coefficients in the adjoint representation. The
Liu, Zhangju, Sheng, Yunhe, Zhang, Tao
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Model category structures on truncated multicomplexes for complex geometry
Bulletin of the London Mathematical Society, EarlyView.Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici +2 more
wiley +1 more source
Four-Dimensional Spin Foam Perturbation Theory
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We define a four-dimensional spin-foam perturbation theory for the BF-theory with a B∧B potential term defined for a compact semi-simple Lie group G on a compact orientable 4-manifold M.
João Faria Martins, Aleksandar Mikovic
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 23, 15 December 2025.ABSTRACT We develop efficient hyperreduction methods for projection‐based model reduction of nonlinear partial differential equations (PDEs) with a large number of parameters and/or large parametric extents. Our formulation is based on the empirical quadrature procedure (EQP), which solves an optimization problem that involves “residual‐matching ...
Adrian Humphry, Masayuki Yano
wiley +1 more source
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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Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source
Quantum affine transformation group and covariant differential calculus
, 1993 We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators.
Aizawa, N., Sato, H. -T.
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Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.Abstract Directional data analysis plays a central role in paleomagnetism, where observations lie on a spherical surface. Existing methods for analyzing directional data often fail to incorporate prior physical knowledge about plate geodynamics, significantly constraining their potential.
F. Sapienza +4 more
wiley +1 more source
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
doaj
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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