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Irreducible highest-weight modules and equivariant quantization | | E. Karolinsky
; A. Stolin
; V. Tarasov
; | | Date: |
18 Jul 2005 | | Subject: | Quantum Algebra | math.QA | | Abstract: | We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules $M(lambda)$ for generic weight $lambda$ to the case of general $lambda$. We consider the relationship between the Shapovalov form on an irreducible highest weight module of a semisimple complex Lie algebra, fusion elements, and equivariant quantization. We also discuss some limiting properties of fusion elements. [KMST] E. Karolinsky and A. Stolin, Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization, Lett. Math. Phys., 71 (2005), p.179-197; e-print math.QA/0309203. | | Source: | arXiv, math.QA/0507348 | | Services: | Forum | Review | PDF | Favorites | |
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