Irreducible decomposition for tensor product representations of Jordanian quantum algebras

1997/01/20 by N. Aizawa, N Aizawa · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA #q-alg

paper · pdf · doi:10.1088/0305-4470/30/17/009

published as J. Phys. A:Math. Gen. 30 (1997) 5981-5992 · LaTeX, 14pages, no figure

arxiv created 1997/01/20 · openalex publication_date 1997/09/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Tensor products of irreducible representations of the Jordanian quantum algebras and are considered. For both the highest weight finite-dimensional representations of and the lowest weight infinite-dimensional ones of , it is shown that tensor product representations are reducible and that the decomposition rules to irreducible representations are exactly the same as those of corresponding Lie algebras.

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