The hopf algebra of vector fields on complex quantum groups |
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| Authors: | Bernhard Drabant Branislav Jurčo Michael Schlieker Wolfgang Weich Bruno Zumino |
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| Institution: | (1) Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, D-8000 Munich 40, Germany;(2) Arnold-Sommerfeld-Institut, Technische Universität Clausthal, D-3392 Clausthal-Zellerfeld, Germany;(3) Lehrstuhl Professor Wess, Sektion Physik der Universität München, Theresienstraße 37, D-8000 Munich 2, Germany;(4) Department of Physics, University of California, 94720 Berkeley, CA, U.S.A.;(5) Theoretical Physics Group, Lawrence Berkeley Laboratory, 1 Cyclotron Road, 94720 Berkeley, CA, U.S.A. |
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| Abstract: | We derive the equivalence of the complex quantum enveloping algebra and the algebra of complex quantum vector fields for the Lie algebra types A
n
, B
n
, C
n
, and D
n
by factorizing the vector fields uniquely into a triangular and a unitary part and identifying them with the corresponding elements of the algebra of regular functionals.Humboldt Fellow. |
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| Keywords: | 16W30 81R05 |
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