Quantum anchor : \uqs case

1999/07/07 by P. Akueson, Akueson, P.
Computer Science · Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Quantum Computing Algorithms and Architecture #math.QA

paper · pdf · doi:10.48550/arxiv.math/9907042

7 pages Latex. To appear in Proceedings of whorkshop on Hopf algebras (1998) at VUB (Belgium)

arxiv created 1999/07/07 · openalex publication_date 1999/07/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the tangent space T(\rm H_q) on the quantum hyperboloid ( \cal A_0,q^c ) and equip it with an action on \cal A_0,q^c being a deformation of the action of vectors fields on functions. An embedding sl(2)_q \longrightarrow T(\rm H_q) of q-deformed Lie algebra sl(2) being an analogue of the anchor sl(2) \longrightarrow \Vect(\rm H) is called "quantum anchor".

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