Conjugation-uniqueness of exact Borel subalgebras |
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| Authors: | Yuehui Zhang |
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| Institution: | (1) Information College of Hainan University, 570228 Haikou, China |
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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.
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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| Keywords: | quasi-hereditary algebra exact Borel subalgebra basic algebra ordinary quiver G-subalgebra |
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