Quantum deformation of flag schemes and Grassmann schemes. I: A \(q\)- deformation of the shape-algebra for \(GL(n)\) (Q1178851)
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scientific article; zbMATH DE number 23456
| Language | Label | Description | Also known as |
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| English | Quantum deformation of flag schemes and Grassmann schemes. I: A \(q\)- deformation of the shape-algebra for \(GL(n)\) |
scientific article; zbMATH DE number 23456 |
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Quantum deformation of flag schemes and Grassmann schemes. I: A \(q\)- deformation of the shape-algebra for \(GL(n)\) (English)
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26 June 1992
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The authors construct \(q\)-deformations of the affine Grassmann and flag varieties over the quantum general and special linear groups. Here \(q\)- deformations mean deformations of the coordinate rings of the appropriate varieties. This is done by deforming the relations given by the second author [in J. Algebra 47, 80-104 (1977; Zbl 0358.15033) and ibid. 61, 414-462 (1979; Zbl 0437.14030)].
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Grassmann variety
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\(q\)-deformations
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flag varieties
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