Results 51 to 60 of about 56,226 (149)

Star Product and Invariant Integration for Lie type Noncommutative Spacetimes

, 2007
We present a star product for noncommutative spaces of Lie type, including the so called ``canonical'' case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral.
A. Sykora, A.H. Fatollahi, C. Chryssomalakos, Chryssomalis Chryssomalakos, Elias Okon, J. Wess, J.M. Gracia-Bondia, L. Moller, M. Daszkiewicz, M. Dimitrijevic, S. Kurkcuoglu, S. Majid, S. Meljanac, V. Kathotia   +13 more
core   +1 more source

AkiNet: A Physics‐Informed AI for Wave Extraction From Noise

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract High‐resolution seismic models of the Earth's lithosphere are critical for understanding its structure and evolution, yet current global models lack the details that can be provided by ambient noise data. A primary bottleneck is reliably extracting phase velocities from the vast, often noisy data sets produced by ambient noise cross ...
Siyu Xue, Tolulope Olugboji
wiley   +1 more source

Optimally defined Racah-Casimir operators for su(n) and their eigenvalues for various classes of representations

, 2000
This paper deals with the striking fact that there is an essentially canonical path from the $i$-th Lie algebra cohomology cocycle, $i=1,2,... l$, of a simple compact Lie algebra $\g$ of rank $l$ to the definition of its primitive Casimir operators $C ...
A. J. Macfarlane, de Azcárraga J.A., Dynkin E.B., J. A. de Azcárraga, Kuriyan J.G., Macfarlane A.J., Macfarlane A.J., Okubo S., Patera J., Sudbery A., van Ritbergen T.   +10 more
core   +2 more sources

The shift‐homological spectrum and parametrising kernels of rank functions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird, Jordan Williamson, Alexandra Zvonareva   +2 more
wiley   +1 more source

Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately 
Ulrich Derenthal, Florian Wilsch
wiley   +1 more source

Boundary representations of locally compact hyperbolic groups

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley   +1 more source

Semi-direct products of Lie algebras and their invariants

, 2007
The goal of this paper is to extend the standard invariant-theoretic design, well-developed in the reductive case, to the setting of representation of certain non-reductive groups. This concerns the following notions and results: the existence of generic
Panyushev, Dmitri I.
core   +1 more source

On fundamental structure underlying Lie algebra homology with coefficients tensor products of the adjoint representation [PDF]

, 2023
Geoffrey Powell
openalex   +1 more source

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Small oscillations and the Heisenberg Lie algebra

, 2006
The Adler Kostant Symes [A-K-S] scheme is used to describe mechanical systems for quadratic Hamiltonians of $\mathbb R^{2n}$ on coadjoint orbits of the Heisenberg Lie group.
Abraham R, Arnold V I, Brodlie A, Folland G, Gabriela Ovando, Guest M, Guillemin V, Kirillov A A, Kisil V V, Kisil V V, Kostant B, Medina A, Medina A, Ovando G, Raghunathan M, Ratiu T, Saal L, Varadarajan V, Woodhouse N M   +18 more
core   +1 more source