3
$\begingroup$

Note that the global dimension of a quasi-hereditary algebra with n simples is bounded by 2n-2. Two questions:

1.What are examples of quasi-hereditary algebras having n simple modules and dominant dimension 2n-2 ? Note that this implies that the algebra is in fact a higher auslander algebra. The only examples I know are the blocks of finite representation type of Schur algebras. Maybe there are no others?

2.What are examples of quasi-hereditary algebras having n simple modules and global dimension 2n-2 ? There should be many examples and maybe they can be classified?

$\endgroup$

Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.