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Quantum Groups pp 138-141 | Cite as

Quantum deformation of the flag variety

  • Earl J. Taft
I. Quantum Groups, Deformation Theory And Representation Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1510)

Keywords

Quantum Deformation Schubert Variety Compact Quantum Group Flag Variety Standard Tableau 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    M.Hashimoto and T.Hayashi, Quantum multilinear algebra, Preprint (1989).Google Scholar
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    V.Lakshmibai and N.Reshetikhin, Quantum deformations of flag and Schubert schemes, Preprint (1990).Google Scholar
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    M.Noumi, H.Yamada and K.Mimachi, Finite dimensional representations of the quantum group GL q(n,ℂ) and the zonal spherical functions on U q(n−1) ∖ Uq(n), Preprint (1990).Google Scholar
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    Ya.Soibelman, Representations of ℂ h (K) and Schubert cells, Rostov University preprint (1989).Google Scholar
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    E.Taft and J.Towber, Quantum deformation of flag schemes and Grassman schemes I. A q-deformation of the shape algebra for GL(n), Preprint (1989); J. Algebra (to appear).Google Scholar
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    J. Towber, Two new functions from modules to algebras, J. Algebra 47 (1977), 80–104.MathSciNetCrossRefzbMATHGoogle Scholar
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    J. Towber, Young Symmetry, the flag manifold, and representations of GL(n), J. Algebra 49 (1979), 414–462.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Earl J. Taft
    • 1
  1. 1.Department of Mathematics at New BrunswickRutgers UniversityNew BrunswickUSA

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