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- W2783267170 abstract "We give a definition of noncommutative finite-dimensional Euclidean spaces Rn. We then remind our definition of noncommutative products of Euclidean spaces RN1 and RN2 which produces noncommutative Euclidean spaces RN1+N2. We solve completely the conditions defining the noncommutative products of the Euclidean spaces RN1 and RN2 and prove that the corresponding noncommutative unit spheres SN1+N2−1 are noncommutative spherical manifolds. We then apply these concepts to define “noncommutative” quaternionic planes and noncommutative quaternionic tori on which acts the classical quaternionic torus TH2=U1(H)×U1(H)." @default.
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- W2783267170 date "2018-08-01" @default.
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- W2783267170 title "Noncommutative Euclidean spaces" @default.
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- W2783267170 doi "https://doi.org/10.1016/j.geomphys.2018.04.006" @default.
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