Results 41 to 50 of about 16,231 (186)

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

On the homological properties of the universal enveloping Leibniz algebra [PDF]

, 2018
We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasi-Koszul algebra or an inhomogeneous Koszul ...
Cañete-Molero, Elisa María
core  

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

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

Reconstruction of universal Drinfeld twists from representations

, 2004
Universal Drinfeld twists are inner automorphisms which relate the coproduct of a quantum enveloping algebra to the coproduct of the undeformed enveloping algebra.
Christian Blohmann, Drinfeld V. G., Drinfeld V. G., Drinfeld V. G., Dąbrowski L., Manin Y. I.   +5 more
core   +1 more source

Empowering Senegalese Farmers Through Adaptive Expenditure Strategies for Climate Resilience

Food and Energy Security, Volume 15, Issue 2, March/April 2026.
ABSTRACT Farmer households employ various coping strategies to address climate and non‐climate shocks, which are primarily categorized into production‐focused and consumption‐focused approaches. While the former has been extensively remarked on in recent studies, the latter has received little attention in the literature.
Mohammad Tirgariseraji, A. Pouyan Nejadhashemi   +1 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

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley   +1 more source