Results 1 to 10 of about 1,183,168 (293)
Universal Bethe Ansatz and Scalar Products of Bethe Vectors
Symmetry, Integrability and Geometry: Methods and Applications, 2010 An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U_q(^gl_3) is given.
Eric Ragoucy +2 more
doaj +1 more source
Universal logic-in-memory cell enabling all basic Boolean algebra logic
Scientific Reports, 2022 Among the promising approaches for implementing high-performance computing, reconfigurable logic gates and logic-in-memory (LIM) approaches have been drawing increased research attention.
Eunwoo Baek, Kyoungah Cho, Sangsig Kim
doaj +1 more source
Universal enveloping algebras and universal derivations of Poisson algebras
Journal of Algebra, 2012 20 ...
openaire +3 more sources
On light-like deformations of the Poincaré algebra
European Physical Journal C: Particles and Fields, 2019 We investigate the observational consequences of the light-like deformations of the Poincaré algebra induced by the jordanian and the extended jordanian classes of Drinfel’d twists.
Zhanna Kuznetsova, Francesco Toppan
doaj +1 more source
Constructive universal algebra: an introduction
Theoretical Computer Science, 1987 The author surveys his approach to the question of complexity of algebraic operations. Having a partial universal algebra (A,\(\Omega)\) and a partial algebraic operation f of (A,\(\Omega)\), a lower bound for the complexity of an optimal expression of f by \(\Omega\)-operations is presented.
openaire +3 more sources
The universal enveloping algebra of the Witt algebra is not noetherian [PDF]
Advances in Mathematics, 2014 This work is prompted by the long standing question of whether it is possible for the universal enveloping algebra of an infinite dimensional Lie algebra to be noetherian. To address this problem, we answer a 23-year-old question of Carolyn Dean and Lance Small; namely, we prove that the universal enveloping algebra of the Witt (or centerless Virasoro)
Sierra, Susan, Walton, Chelsea
openaire +3 more sources
The q-Higgs and Askey–Wilson algebras
Nuclear Physics B, 2019 A q-analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the 2-sphere, is obtained as the commutant of the oq1/2(2)⊕oq1/2(2) subalgebra of oq1/2(4) in the q-oscillator representation of the quantized ...
Luc Frappat +3 more
doaj +1 more source
Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration
Forum of Mathematics, SigmaIn this paper, we introduce the notion of post-Hopf algebroids, generalizing the pre-Hopf algebroids introduced in [8] in the study of exotic aromatic S-series. We construct action post-Hopf algebroids through actions of post-Hopf algebras.
Adrien Busnot Laurent +2 more
doaj +1 more source
Computably Enumerable Semisimple Rings
MathematicsThe theory of semisimple rings plays a fundamental role in noncommutative algebra. We study the complexity of the problem of semisimple rings using the tools of computability theory. Following the general idea of computably enumerable (c.e.
Huishan Wu
doaj +1 more source
The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q(sl_2)
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension Δ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss a connection between Δ and the quantum algebra U_q(sl_2).
Paul Terwilliger
doaj +1 more source