Dual pairs, spherical harmonics and a Capelli identity in quantum group theory
Masatoshi Noumi, Tôru Umeda, Masato Wakayama (1996)
Compositio Mathematica
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Masatoshi Noumi, Tôru Umeda, Masato Wakayama (1996)
Compositio Mathematica
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Sommerhäuser, Yorck (1996)
The New York Journal of Mathematics [electronic only]
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Dimitri Gurevich (1997)
Banach Center Publications
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We introduce a representation theory of q-Lie algebras defined earlier in [DG1], [DG2], formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.
Ogievetsky, O.
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Victor G. Kac, J. W. Van de Leur (1987)
Annales de l'institut Fourier
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We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex...
Anthony Joseph, Gail Letzter (1995)
Annales scientifiques de l'École Normale Supérieure
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