Abstract
The Borel-Weil (BW) construction for unitary irreps of a compact Lie group is extended to a construction of all unitary irreps of the quantum group U q(n). This q-BW construction uses a recursion procedure for U q(n) in which the fiber of the bundle carries an irrep of U q(n-1)×U q(1) with sections that are holomorphic functions in the homogeneous space U q(n)/U q(n-1)×U q(1). Explicit results are obtained for the U q(n) irreps and for the related isomorphism of quantum group algebras.
Original language | English |
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Pages (from-to) | 483-504 |
Number of pages | 22 |
Journal | Communications in Mathematical Physics |
Volume | 146 |
Issue number | 3 |
DOIs |
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Publication status | Published - 1992 |