The Prime Spectrum of Rq[G]

  • Anthony Joseph
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 29)


A highest weight module for R is a module generated by a one dimensional R + module. Their theory is superficially similar to highest weight modules for U. Thus there are universal highest weight modules (analogous to Verma modules) and these admit unique simple quotients (10.1.5). However not all characters on R + can give rise to such a module (10.1.3) and Prim R is not exhausted (10.1.7) by their annihilators. On the other hand they satisfy a remarkable tensor product theorem (10.1.18) which gives rise to a braid group action (10.2) on U.


Hopf Algebra Weyl Group Left Ideal Prime Spectrum Primitive Ideal 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Anthony Joseph
    • 1
    • 2
  1. 1.Department of Theoretical MathematicsThe Weizmann Institute of ScienceRehovotIsrael
  2. 2.Laboratoire de Mathématiques FondamentalesUniversité Pierre et Marie CurieParis Cédex 05France

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