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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
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Commentarii Mathematici Helvetici, 2004 Consider an associative algebra of differential operators in \(n\) indeterminates (with smooth or polynomial coefficients) with respect to composition. Its subspace \(W(n)\) of vector fields (i.e. first-order differential operators) constitutes a famous Lie algebra of general Cartan type with respect to commutator.
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Arc spaces and the vertex algebra commutant problem [PDF]
, 2011 Given a vertex algebra $\mathcal{V}$ and a subalgebra $\mathcal{A}\subset \mathcal{V}$, the commutant $\text{Com}(\mathcal{A},\mathcal{V})$ is the subalgebra of $\mathcal{V}$ which commutes with all elements of $\mathcal{A}$.
A. Linshaw +2 more
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Operational Quantum Mereology and Minimal Scrambling [PDF]
QuantumIn this paper we will attempt to answer the following question: what are the natural quantum subsystems which emerge out of a system's dynamical laws?
Paolo Zanardi +3 more
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Journal of Algebra, 2003 The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP.
ELASHVILI, Alexander, OOMS, Alfons
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MATHEMATICA SCANDINAVICA, 1988 Let \({\mathcal B}\) be a Banach space, \(\sigma\) a \(C_ 0\)-group of isometries of \({\mathcal B}\) with generator \(H\), and \({\mathcal D}\subseteq D(H)\) a \(\sigma\)-invariant core of \(H\). Suppose \(K:{\mathcal D}\to {\mathcal B}\) is a dissipative operator satisfying \[ 1.\quad \| Ka\| \leq k_ 0(\| Ha\| \vee \| a\|),\quad a\in {\mathcal D}, \]
Batty, Charles J.K., Robinson, Derek W.
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Analytic Extension of Riemannian Analytic Manifolds and Local Isometries
Mathematics, 2020 This article deals with a locally given Riemannian analytic manifold. One of the main tasks is to define its regular analytic extension in order to generalize the notion of completeness.
Vladimir A. Popov
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Non-Polynomial Realizations of W-Algebras
, 1995 Relaxing first-class constraint conditions in the usual Drinfeld-Sokolov Hamiltonian reduction leads, after symmetry fixing, to realizations of W algebras expressed in terms of all the J-current components.
Barbarin, F., Ragoucy, E., Sorba, P.
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Curious patterns of IR symmetry enhancement
Journal of High Energy Physics, 2018 We study several cases of IR enhancements of global symmetry in four dimensions. In particular, we consider a sequence of Spin(n + 4) supersymmetric gauge theories (8 ≥ n ≥ 1) with n vectors and spinor matter with 32 components. We show that the subgroup
Shlomo S. Razamat, Orr Sela, Gabi Zafrir
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Optimal solutions to matrix-valued Nehari problems and related limit theorems
, 2011 In a 1990 paper Helton and Young showed that under certain conditions the optimal solution of the Nehari problem corresponding to a finite rank Hankel operator with scalar entries can be efficiently approximated by certain functions defined in terms of ...
AE Frazho +15 more
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