Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N)

1993/11/25 by Vahid Karimipour, V. Karimipour, Karimipour, V.
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9311150

20 PAGES

arxiv created 1993/11/25 · openalex publication_date 1993/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a detailed study of the representations of the algebra of functions on the quantum group GL_q(n) . A q-analouge of the root system is constructed for this algebra which is then used to determine explicit matrix representations of the generators of this algebra. At the end a q-boson realization of the generators of GL_q(n) is given.

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