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Kähler structures on quantum irreducible flag manifolds

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Abstract We prove that all quantum irreducible flag manifolds admit Kahler structures, as defined by O Buachalla. In order to show this result, we also prove that the differential calculi… Click to show full abstract

Abstract We prove that all quantum irreducible flag manifolds admit Kahler structures, as defined by O Buachalla. In order to show this result, we also prove that the differential calculi defined by Heckenberger and Kolb are differential ∗ -calculi in a natural way.

Keywords: irreducible flag; quantum irreducible; structures quantum; flag manifolds; hler structures

Journal Title: Journal of Geometry and Physics
Year Published: 2019

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