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 in detail a graphical tensor product reduction scheme, firstdescribed by Antoine and Speiser, for the simple rank 2 Lie algebras so(5) =sp(2), su(3), and g(2). This leads to an efficient practical method to reducetensor products of irreducible representations into sums of suchrepresentations. For this purpose, the 2-dimensional weight diagram of a givenrepresentation is placed in a "landscape" of irreducible representations. Weprovide both the landscapes and the weight diagrams for a large number ofrepresentations for the three simple rank 2 Lie algebras. We also apply thealgebraic "girdle" method, which is much less efficient for calculations byhand for moderately large representations. Computer code for reducing tensorproducts, based on the graphical method, has been developed as well and isavailable from the authors upon request.

Graphical Tensor Product Reduction Scheme for the Lie Algebras so(5) = sp(2), su(3), and g(2)