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Conjugation-uniqueness of exact Borel subalgebras

✍ Scribed by Yuehui Zhang


Publisher
SP Science China Press
Year
1999
Tongue
English
Weight
337 KB
Volume
42
Category
Article
ISSN
1674-7283

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Strong Exact Borel Subalgebras of Quasi-
✍ Yuehui Zhang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 87 KB

It is proved that strong exact Borel subalgebras of quasi-hereditary algebra are conjugate to each other and are in bijection with the collection of maximal semisimple subalgebras.

Strong Exact Borel Subalgebras of Quasi-
✍ Steffen KΓΆnig πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 274 KB

Strong exact Borel subalgebras and strong 2-subalgebras are shown to exist for quasi-hereditary algebras which possess exact Borel subalgebras and 2-subalgebras. This implies that the algebras associated with blocks of category O have strong exact Borel subalgebras and strong 2-subalgebras. The stru