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Commutative–non-commutative dualities [PDF]
Canadian Journal of Physics, 2020 We show that it is in principle possible to construct dualities between commutative and non-commutative theories in a systematic way. This construction exploits a generalization of the exact renormalization group equation (ERG). We apply this to the simple case of the Landau problem and then generalize it to the free and interacting non-canonical ...
Scholtz, F.G. +2 more
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Semi-commutations and Partial commutations [PDF]
RAIRO - Theoretical Informatics and Applications, 2000 Summary: The aim of this paper is to show that a semi-commutation function can be expressed as the compound of a sequential transformation, a partial commutation function, and the reverse transformation. Moreover, we give a necessary and sufficient condition for the image of a regular language to be computed by the compound of two sequential functions ...
Clerbout, M., Roos, Y., Ryl, Isabelle
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Bulletin of the Australian Mathematical Society, 1984 We give examples of finite groups of odd prime power order in which the commutators lying in the centre do not generate the intersection of the centre and the commutator subgroup.
Caranti A, SCOPPOLA, CARLO MARIA
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Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras [PDF]
, 2012 We study certain "\sigma-commuting varieties" associated with a pair of commuting involutions of a semisimple Lie algebra $\g$. The usual commuting variety of $\g$ and commuting varieties related to one involution are particular cases of our construction.
Panyushev, Dmitri I.
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Standard noncommuting and commuting dilations of commuting tuples [PDF]
, 2002 We introduce a notion called `maximal commuting piece' for tuples of Hilbert space operators. Given a commuting tuple of operators forming a row contraction there are two commonly used dilations in multivariable operator theory.
Bhat, B. V. Rajarama +2 more
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Operators with commutative commutants.
Michigan Mathematical Journal, 1988 Given operators M and N on a Hilbert space H, suppose that M (resp. N) is the direct sum of k (resp. n) copies of an operator A having a commutative commutant. Suppose further that m and k are countable cardinalities (or, any cardinalities if H is separable) and that N is a quasi-affine transform of M (i.e., \(NX=XM\) for some injective operator X with
Radjabalipour, M., Radjavi, H.
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Almost Commuting Orthogonal Matrices [PDF]
, 2013 We show that almost commuting real orthogonal matrices are uniformly close to exactly commuting real orthogonal matrices. We prove the same for symplectic unitary matrices.
Loring, Terry A., Sørensen, Adam P. W.
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Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq $). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq $? A theorem of H. Lin shows that this is uniformly true, in that for every $ >0$ there exists a $ >0$, independent of the size $N$ of the matrices ...
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Minimum commuting distance as a spatial characteristic in a non-monocentric urban system : the case of Flanders [PDF]
, 2011 This paper focuses on regional variations in commuting trip lengths by calculating minimum (required) commuting distances, along with excess commuting rates.
Boussauw, Kobe +2 more
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