QuantumR-matrix and intertwiners for the Kashiwara algebra
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منابع مشابه
Quantum R-matrix and Intertwiners for the Kashiwara Algebra
In a recent work [FR], Frenkel and Reshetikhin developed the theory of q-vertex operators. They showed that n-point correlation functions associated to q-vertex operators satisfy a qdifference equation called q-deformed Kniznik-Zamolodchikov equation. In the derivation of this equation, a crucial point is that the quantum affine algebra is a quasi-triangular Hopf algebra. By using several prope...
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15 صفحه اولDescription of B(∞) through Kashiwara Embedding for E6 and E7 Lie Algebra Types
We study the crystal base B(∞) associated with the negative part of the quantum group for finite simple Lie algebras of types E6 and E7. We present an explicit description of B(∞) as the image of a Kashiwara embedding that is in natural correspondence with the tableau description of B(∞).
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To speak about identical particles – bosons or fermions – in quantum field theories with κ-deformed Poincaré symmetry, one must have a κ-covariant notion of particle exchange. This means constructing intertwiners of the relevant representations of κPoincaré. We show, in the simple case of massive spinless particles, that intertwiners exist, and, supported by a perturbative calculation to third ...
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Reduction of the left regular representation of quantum algebra slq(3) is studied and q-difference intertwining operators are constructed. The irreducible representations correspond to the spaces of local sections of certain line bundles over the q-flag manifold.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1994
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02101701