universal verma modules and the misra-miwa fock space

Clicks: 138
ID: 128725
2010
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Abstract
The Misra-Miwa v-deformed Fock space is a representation of the quantized affine algebra Uv(sl^ℓ). It has a standard basis indexed by partitions, and the nonzero matrix entries of the action of the Chevalley generators with respect to this basis are powers of v. Partitions also index the polynomial Weyl modules for Uq(glN) as N tends to infinity. We explain how the powers of v which appear in the Misra-Miwa Fock space also appear naturally in the context of Weyl modules. The main tool we use is the Shapovalov determinant for a universal Verma module.
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ram2010internationaluniversal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Arun Ram;Peter Tingley
Journal structural engineering and mechanics
Year 2010
DOI
10.1155/2010/326247
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