Results 41 to 50 of about 16,242 (186)

Derivations and Extensions in JC-Algebras

International Journal of Mathematics and Mathematical Sciences
A well-known result by Upmeier states that every derivation on a universally reversible JC-algebra A⊆BHsa extends to the C∗-algebra A generated by A in BH.
Fatmah B. Jamjoom, Doha A. Abulhamail
doaj   +1 more source

Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We prove an explicit formula for a projection of singular vectors in the Verma module over a rank 2 Kac-Moody Lie algebra onto the universal enveloping algebra of the Heisenberg Lie algebra and of sl_2 (Theorem 3).
Dmitry Fuchs, Constance Wilmarth
doaj   +1 more source

A Common Structure in PBW Bases of the Nilpotent Subalgebra of U_q(g)

Symmetry, Integrability and Geometry: Methods and Applications, 2013
For a finite-dimensional simple Lie algebra $mathfrak{g}$, let $U^+_q(mathfrak{g})$ be the positive part of the quantized universal enveloping algebra, and $A_q(mathfrak{g})$ be the quantized algebra of functions.
Atsuo Kuniba, Masato Okado, Yasuhiko Yamada   +2 more
doaj   +1 more source

Infinity‐operadic foundations for embedding calculus

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley   +1 more source

Heisenberg-Type Families in $U_q(widehat{sl_2})$

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Using the second Drinfeld formulation of the quantized universal enveloping algebra $U_q(widehat{sl_2})$ we introduce a family of its Heisenberg-type elements which are endowed with a deformed commutator and satisfy properties similar to generators of a ...
Alexander Zuevsky
doaj   +1 more source

Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics

Advances in Mathematical Physics, 2018
The dynamical symmetries of 1+1-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial de Alfaro-Fubini-Furlan, DFF, term) are investigated.
Francesco Toppan, Mauricio Valenzuela
doaj   +1 more source

Co-Poisson structures on polynomial Hopf algebras

, 2017
The Hopf dual $H^\circ$ of any Poisson Hopf algebra $H$ is proved to be a co-Poisson Hopf algebra provided $H$ is noetherian. Without noetherian assumption, it is not true in general.
Lou, Qi, Wu, QuanShui
core   +1 more source

Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley   +1 more source

A Data‐Driven Multidimensional Profiling Framework for Residential Electricity Users With Application to Load Forecasting

Energy Internet, Volume 3, Issue 1, Page 23-38, April 2026.
ABSTRACT With the advancement of smart grid and Internet of Things, alongside broad adoption of distributed energy resources, precise profiling of residential users has become vital to grid operational efficiency and load forecasting accuracy. However, existing profiling approaches mainly rely on single‐source load data and fail to capture the dynamic ...
Danlin Li, Yuchen Zhang, Rui Zhang, Ming Yang, Yu Li, Chuanqi Wang, Yateendra Mishra   +6 more
wiley   +1 more source

Color Lie rings and PBW deformations of skew group algebras

, 2019
We investigate color Lie rings over finite group algebras and their universal enveloping algebras. We exhibit these universal enveloping algebras as PBW deformations of skew group algebras: Every color Lie ring over a finite group algebra with a ...
Fryer, S., Kanstrup, T., Kirkman, E., Shepler, A., Witherspoon, S.   +4 more
core   +1 more source