Results 51 to 60 of about 56,732 (134)

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

On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley   +1 more source

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
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

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Random Lie bracket on sl2(Fp)

Random Structures &Algorithms, Volume 68, Issue 1, January 2026.
ABSTRACT We study a random walk on the Lie algebra sl2(Fp)$$ {\mathfrak{sl}}_2\left({\mathbf{F}}_p\right) $$ where new elements are produced by randomly applying adjoint operators of two generators. Focusing on the generic case where the generators are selected at random, we analyze the limiting distribution of the random walk and the speed at which it
Urban Jezernik, Matevž Miščič
wiley   +1 more source

On some modules of covariants for a reflection group

, 2017
Let $\mathfrak g$ be a simple Lie algebra with Cartan subalgebra $\mathfrak h$ and Weyl group $W$. We build up a graded map $(\mathcal H\otimes \bigwedge\mathfrak h\otimes \mathfrak h)^W\to (\bigwedge \mathfrak g\otimes \mathfrak g)^\mathfrak g$ of ...
De Concini, Corrado, Papi, Paolo
core   +1 more source

Enhanced Linear Quadratic Regulator‐Based Strategy for Seamless Transition Between Microgrid Operation Modes

IET Power Electronics, Volume 19, Issue 1, January/December 2026.
This paper presents an LQR‐based strategy for seamless transition between grid‐forming and grid‐following inverters in microgrids. The proposed design integrates the comprehensive control loops of the grid‐forming and grid‐following inverters. A systematic, gradient‐based optimization framework is used for selecting the weighting matrices.
Adel Tatish, Kanchapogu Vaisakh
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

Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley   +1 more source