Results 31 to 40 of about 1,532 (216)

On Restricted Cohomology of Modular Classical Lie Algebras and Their Applications

Mathematics, 2022
In this paper, we study the restricted cohomology of Lie algebras of semisimple and simply connected algebraic groups in positive characteristics with coefficients in simple restricted modules and their applications in studying the connections between ...
Sherali S. Ibraev, Larissa S. Kainbaeva, Angisin Z. Seitmuratov   +2 more
doaj   +1 more source

Local derivation on the Schro¨dinger Lie algebra in (n+1)-dimensional space-time

Қарағанды университетінің хабаршысы. Математика сериясы
This paper investigates local derivations on the Schro¨dinger Lie algebra sn, the Lie algebra of the (n+1)dimensional space-time Schro¨dinger group. As a finite-dimensional Lie algebra that is neither semisimple nor solvable, the Schr¨odinger algebra ...
A.K. Alauadinov, B.B. Yusupov
doaj   +1 more source

Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures

Mathematics, 2021
In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo, Juan Carlos Marrero, Edith Padrón   +2 more
doaj   +1 more source

Zassenhaus varieties of general linear Lie algebras

, 2005
Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U be the universal enveloping algebra of g. We prove in this paper for g=gl_n and g=sl_n that the centre Z of U is a unique factorisation domain and that its field
Premet, Alexander; id_orcid, Premet, Alexander, Alexander Premet, Tange, R.H., Rudolf Tange, Tange, Rudolf, Premet, A.A.   +6 more
core   +1 more source

Spin(8,C)-Higgs pairs over a compact Riemann surface

Open Mathematics, 2023
Let XX be a compact Riemann surface of genus g≥2g\ge 2, GG be a semisimple complex Lie group and ρ:G→GL(V)\rho :G\to {\rm{GL}}\left(V) be a complex representation of GG.
Antón-Sancho Álvaro
doaj   +1 more source

Locally Homogeneous Manifolds Defined by Lie Algebra of Infinitesimal Affine Transformations

Mathematics, 2022
This article deals with Lie algebra G of all infinitesimal affine transformations of the manifold M with an affine connection, its stationary subalgebra ℌ⊂G, the Lie group G corresponding to the algebra G, and its subgroup H⊂G corresponding to the ...
Vladimir A. Popov
doaj   +1 more source

Krylov complexity in a natural basis for the Schrödinger algebra

SciPost Physics Core
We investigate operator growth in quantum systems with two-dimensional Schrödinger group symmetry by studying the Krylov complexity. While feasible for semisimple Lie algebras, cases such as the Schrödinger algebra which is characterized by a semi-direct
Dimitrios Patramanis, Watse Sybesma
doaj   +1 more source

Invariant solutions to the Strominger system and the heterotic equations of motion

Nuclear Physics B, 2017
We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal, Luis Ugarte, Raquel Villacampa   +2 more
doaj   +1 more source

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, Mark L. Lewis, A. A. Schaeffer Fry, Hung P. Tong‐Viet   +3 more
wiley   +1 more source

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