Results 81 to 90 of about 34,464 (177)
Infinite abelian subalgebra of W(sl(n))
Nuclear Physics B, 1991 Abstract A representation theoretical construction of the conservation laws of affine Toda type systems is described. The construction employs the completely degenerate representations of the extended conformal algebras W(sl( n )). The conserved charges are shown to generate an infinite-dimensional abelian subalgebra of W(sl( n )).
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Variable-moment fluid closures with Hamiltonian structure. [PDF]
Sci Rep, 2023 Burby JW.
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Singular maximal abelian ∗-subalgebras in continuous von Neumann algebras
Journal of Functional Analysis, 1983 Let M be a von Neumann algebra. A maximal abelian *-subalgebra A in M is singular if the only unitaries in M that normalize A are those in A. This notion was first considered by Dixmier, who gave an example of a singular maximal abelian *-subalgebra in the separable hypertinite II, factor (see [5]).
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The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]
Milan J Math, 2022 Bottini A.
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Lie algebras in which every soluble subalgebra is either abelian or almost-abelian
Hiroshima Mathematical Journal, 1991 Let \({\mathfrak C}^*\) denote the class of Lie algebras L in which every subalgebra of a nilpotent subalgebra H of L is an ideal in the idealizer of H in L. Call a Lie algebra L an (A)-algebra if for x,y\(\in L\) such that \([x,y,y]=0\) we have \([x,y]=0\).
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Maximal abelian subalgebras of hyperfinite factors [PDF]
Transactions of the American Mathematical Society, 1969 openaire +3 more sources
Lie algebras whose proper subalgebras are either semisimple, abelian or almost-abelian
Hiroshima Mathematical Journal, 1994 The author first considers Lie algebras \(L\) having an element \(x\) such that \(C_ L (x)\) is abelian and \(\dim N_ L (C_ L (x))/ C_ L (x)\leq 1\). He also studies the structure of nonsolvable Lie algebras all of whose proper subalgebras are either semisimple, abelian, or almost abelian. He then uses these results in a study of upper semi-modular and
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The Takesaki equivalence relation for maximal abelian subalgebras
Mxfcnster Journal of Mathematics, 2011 For a maximal abelian subalgebra $A\subset M$ in a finite von Neumann algebra, we consider an invariant due to Takesaki which is an equivalence relation on a standard probability space. We give several characterization of this invariant and show that it can be reconstructed from the A-bimodule structure of the GNS Hilbert space $L^2(M)$. In particular,
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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Causality in Schwinger's Picture of Quantum Mechanics. [PDF]
Entropy (Basel), 2022 Ciaglia FM +5 more
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