Letters in Mathematical Physics

, Volume 52, Issue 4, pp 339–342 | Cite as

A(SLq(2)) at Roots of Unity is a Free Module over A(SL(2))

  • Ludwik Dabrowski
  • Cesare Reina
  • Alessandro Zampa


It is shown that when q is a primitive root of unity of order not equal to 2 mod 4, A(SLq(2)) is a free module of finite rank over the coordinate ring of the classical group SL(2). An explicit set of generators is provided.

quantum groups roots of unity Hopf algebras 


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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Ludwik Dabrowski
    • 1
  • Cesare Reina
    • 2
  • Alessandro Zampa
    • 3
  1. 1.SISSATriesteItaly
  2. 2.SISSATriesteItaly
  3. 3.SISSATriesteItaly

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