A geometric setting for the quantum deformation of \(\mathrm{GL}_n\) (Q749640)
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scientific article; zbMATH DE number 4173197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric setting for the quantum deformation of \(\mathrm{GL}_n\) |
scientific article; zbMATH DE number 4173197 |
Statements
A geometric setting for the quantum deformation of \(\mathrm{GL}_n\) (English)
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1990
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For the quantum deformation of \(\mathrm{GL}_n\) a realization is given not in terms of generators and relations which, according to Drinfel'd, ``do not give much to heart or imagination'' but in geometric terms of relative positions of pairs of flags in an infinite dimensional space. This infinite case is approximated by finite-dimensional ones via a nontrivial limiting procedure.
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quantum groups
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infinite dimensional flags
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intersection cohomology
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quantum deformation
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