Results 81 to 90 of about 67,761 (247)

Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras

, 2003
We compute the short distance expansion of fields or operators that live in the coadjoint representation of an infinite dimensional Lie algebra by using only properties of the adjoint representation and its dual.
Gates Jr, S. James, Linch III, W. D., Phillips, J., Rodgers, V. G. J.   +3 more
core   +1 more source

New biosensors and transgenic mice for multiplex cGMP imaging

British Journal of Pharmacology, EarlyView.
Background and Purpose Cyclic guanosine monophosphate (cGMP) is a versatile second messenger that is important for human (patho‐)physiology and pharmacotherapy. Live‐cell imaging of cGMP with biosensors allows to elucidate its spatiotemporal dynamics in real time under close‐to‐native conditions. However, to monitor two separate cGMP pools or cGMP/cAMP
Markus Wolters, Martin Thunemann, Barbara Birk, Susanne Feil, Viacheslav O. Nikolaev, Moritz Lehners, Robert Feil   +6 more
wiley   +1 more source

AFFINE LIE ALGEBRAS AND CALOGERO SYSTEMS

Kyushu Journal of Mathematics, 1997
It is known that the Hamiltonian of the \(n\)-particle quantum rational Calogero model with a particular value of the parameter can be identified with the radial part of the Laplacian on the space \(p/K\). Here \(p\) is the Lie algebra of symmetric, anti-hermitian, traceless \(n\times n\) matrices and \(K=SO(n)\).
openaire   +2 more sources

What Are Asset Price Bubbles? A Survey on Definitions of Financial Bubbles

Journal of Economic Surveys, EarlyView.
ABSTRACT Financial bubbles and crashes have repeatedly caused economic turmoil notably but not just during the 2008 financial crisis. However, both in the popular press as well as scientific publications, the meaning of bubble is sometimes unspecified.
Michael Heinrich Baumann, Anja Janischewski   +1 more
wiley   +1 more source

Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
We consider left-invariant control affine systems on the matrix Lie group SO (2, 1)0. A classification, under state space equivalence, of all such full-rank control systems is obtained. First, we identify certain subsets on which the group of Lie algebra
Biggs Rory, Remsing Claudiu C.
doaj   +1 more source

Measure‐valued processes for energy markets

Mathematical Finance, Volume 35, Issue 2, Page 520-566, April 2025.
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero, Luca Di Persio, Francesco Guida, Sara Svaluto‐Ferro   +3 more
wiley   +1 more source

Macroscopic Market Making Games

Mathematical Finance, EarlyView.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

From tensor algebras to hyperbolic Kac-Moody algebras

Journal of High Energy Physics
We propose a novel approach to study hyperbolic Kac-Moody algebras, and more specifically, the Feingold-Frenkel algebra 𝔉, which is based on considering the tensor algebra of level-one states before descending to the Lie algebra by converting tensor ...
Axel Kleinschmidt, Hannes Malcha, Hermann Nicolai   +2 more
doaj   +1 more source

On affine motions with one-dimensional orbits in common spaces of paths

Дифференциальная геометрия многообразий фигур
The concept of a common path space was introduced by J. Duqlas. M. S. Knebelman was the first to consider affine and projective move­ments in these spaces. The general path space is a generalization of the space of affine connectivity.
N. D. Nikitin, O. G. Nikitina
doaj   +1 more source

An application of Lie superalgebras to affine Lie algebras

Journal of Algebra, 1990
Let \({\mathfrak g}\) be a finite dimensional complex simple Lie algebra and let \(\hat{\mathfrak g}\) be the associated affine Kac-Moody Lie algebra. Chari and Chari-Pressley classified the irreducible unitary representations of \(\hat{\mathfrak g}\) with finite dimensional weight spaces.
Chari, Vyjayanthi, Pressley, Andrew
openaire   +1 more source