Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.
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The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.
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Super Landau Model and Howe Duality: From Supermonopole Harmonics to Quantum Matrix Geometry
Howe duality underlies the super Landau model, relating Landau levels via supermonopole harmonics and yielding matrix coordinates for fuzzy superspheres at arbitrary levels with a determined non-commutative scale.
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Noncommutative Gauge Theories and Gravity
The paper reviews gauge-theoretic formulations of gravity in ordinary and noncommutative spaces based on the authors' earlier works.