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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The most famous simple Lie algebra is $sl_n$ (the $n \times n$ matrices withtrace equals $0$). The representation theory for $sl_n$ has been one of themost important research areas for the past hundred years and within their thesimple finite-dimensional modules have become very important. They areclassified and Gelfand and Tsetlin actually gave an explicit construction of abasis for every simple module. We extend it by providing theorems and proofs,and construct monomial bases of the simple module.

The Gelfand-Tsetlin Realisation of Simple Modules and Monomial Bases