Geometrical construction of quantum groups representations

2002/10/18 by Didier Arnal, D. Arnal, N. Bel-Baraka +4
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0210294

16 pages, 1 figure

arxiv created 2002/10/18 · openalex publication_date 2002/10/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe geometrically the classical and quantum inhomogeneous groups G₀=(SL(2, \BbbC)\triangleright \BbbC²) and G₁=(SL(2, \BbbC)\triangleright \BbbC²)\triangleright \BbbC by studying explicitly their shape algebras as a spaces of polynomial functions with a quadratic relations.

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