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Conjugation-uniqueness of exact Borel subalgebras

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Abstract

It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other. Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.

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Authors and Affiliations

  1. Information College of Hainan University, 570228, Haikou, China

    Yuehui Zhang

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  1. Yuehui Zhang
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19771070). and partly supported by the NSF of Hainan Province (Grant No. 19702) and by the Natural Science Foundation of Education Department of Hainan province.

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Zhang, Y. Conjugation-uniqueness of exact Borel subalgebras. Sci. China Ser. A-Math. 42, 1246–1250 (1999). https://doi.org/10.1007/BF02876024

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  • DOI: https://doi.org/10.1007/BF02876024

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