Noncommutative Sylvester's determinantal identity (Q2372886)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noncommutative Sylvester's determinantal identity |
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Noncommutative Sylvester's determinantal identity (English)
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16 July 2007
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Summary: Sylvester's identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several noncommutative extensions, and find a \(\beta\)-extension that is both a generalization of Sylvester's identity and the \(\beta\)-extension of the quantum MacMahon master theorem.
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quantum MacMahon master theorem
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