On two determinants with interesting factorizations (Q1849955)
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scientific article; zbMATH DE number 1838940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On two determinants with interesting factorizations |
scientific article; zbMATH DE number 1838940 |
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On two determinants with interesting factorizations (English)
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2 December 2002
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The authors show that two determinants arising in different mathematical contexts (Section 3 and Section 4), both exhibiting striking factorization properties, are in fact related. These are the determinants of the matrix of chromatic joins and of the matrix associated with Lickorish's bilinear form in the study of invariants for 3-manifolds. They show that the two determinants are essentially equal up to a change of variable (Section 4) and that they are related to a determinant arising in the representation theory for type A Hecke algebras (Section 5).
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noncrossing partition
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chromatic joints
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gram matrix
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determinants
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factorization
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bilinear form
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invariants for 3-manifolds
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Hecke algebras
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