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math.RT 1

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2024 1

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On $L^1$-$L^2$ dichotomy for flat symmetric spaces

math.RT · 2024-11-23 · conditional · novelty 6.0

For flat symmetric spaces, L1-L2 dichotomy holds for all rank 1 cases except Cartan type AI, and holds at regular points in SU(2,q) and SU(3,q) but fails at certain singular points in SU(2,q).

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  • On $L^1$-$L^2$ dichotomy for flat symmetric spaces math.RT · 2024-11-23 · conditional · none · ref 4

    For flat symmetric spaces, L1-L2 dichotomy holds for all rank 1 cases except Cartan type AI, and holds at regular points in SU(2,q) and SU(3,q) but fails at certain singular points in SU(2,q).