Results 41 to 50 of about 29,270 (226)
On a class of conformal E $$ \mathcal{E} $$ -models and their chiral Poisson algebras
Journal of High Energy Physics, 2023 In this paper, we study conformal points among the class of E $$ \mathcal{E} $$ -models. The latter are σ-models formulated in terms of a current Poisson algebra, whose Lie-theoretic definition allows for a purely algebraic description of their dynamics ...
Sylvain Lacroix
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Quadratic algebras related to elliptic curves [PDF]
, 2007 We construct quadratic finite-dimensional Poisson algebras and their quantum versions related to rank N and degree one vector bundles over elliptic curves with n marked points. The algebras are parameterized by the moduli of curves.
Chernyakov, Yu. +3 more
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Journal of Algebra, 1997 A Novikov algebra \(A\) is a vector space with an operation \(\circ \) satisfying the identities \[ (x\circ y)\circ z=(x\circ z)\circ y, \] \[ (x\circ y)\circ z - x\circ (y\circ z)=(y\circ x)\circ z - y\circ (x\circ z). \] A Novikov-Poisson algebra is a vector space \(A\) with two operations ``\(\cdot,\;\circ\)'' such that \((A,\cdot)\) forms a ...
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Centralizers in free Poisson algebras [PDF]
Proceedings of the American Mathematical Society, 2007 We prove an analog of the Bergman Centralizer Theorem for free Poisson algebras over an arbitrary field of characteristic 0 0 . Some open problems are formulated.
Makar-Limanov, L., Umirbaev, U.
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On Poisson (2-3)-algebras which are finite-dimensional over the center
Researches in MathematicsOne of the classic results of group theory is the so-called Schur theorem. It states that if the central factor-group $G/\zeta(G)$ of a group $G$ is finite, then its derived subgroup $[G,G]$ is also finite.
P.Ye. Minaiev +2 more
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Realizations of observables in Hamiltonian systems with first class constraints
, 2004 In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quotient Dirac bracket algebra.
A. V. BRATCHIKOV +2 more
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Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Strong integrability of λ-deformed models
Nuclear Physics B, 2020 We study the notion of strong integrability for classically integrable λ-deformed CFTs and coset CFTs. To achieve this goal we employ the Poisson brackets of the spatial Lax matrix which we prove that it assumes the Maillet r/s-matrix algebra.
George Georgiou +2 more
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An Introduction to Noncommutative Physics
Physics, 2023 Noncommutativity in physics has a long history, tracing back to classical mechanics. In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras.
Shi-Dong Liang, Matthew J. Lake
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Conjugacy classes in Weyl groups and q-W algebras [PDF]
, 2015 We define noncommutative deformations $W_q^s(G)$ of algebras of functions on certain (finite coverings of) transversal slices to the set of conjugacy classes in an algebraic group $G$ which play the role of Slodowy slices in algebraic group theory.
Sevostyanov, A.
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