English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We develop the theory of integrable representations for an arbitrary maximalparabolic subalgebra of an affine Lie algebra. We see that such subalgebras canbe thought of as arising in a natural way from a Borel--de Siebenthal pair ofsemisimple Lie algebras. We see that although there are similarities with therepresenation thery of the standard maximal parabolic subalgebra there are alsovery interesting and non--trivial differences; including the fact that thereare examples of non--trivial global Weyl modules which are irreducible andfinite--dimensional. We also give a presentation of the endomorphism ring ofthe global Weyl module; although these are no longer polynomial algebras we seethat for certain parabolics these algebras are Stanley--Reisner rings which areboth Koszul and Cohen--Macaualey.

Borel--de Siebenthal pairs, Global Weyl modules and Stanley--Reisner rings