The first fundamental theorem of invariant theory for the orthosymplectic supergroup (Q507177)
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scientific article; zbMATH DE number 7270590
- First fundamental theorems of invariant theory for quantum supergroups
| Language | Label | Description | Also known as |
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| English | The first fundamental theorem of invariant theory for the orthosymplectic supergroup |
scientific article; zbMATH DE number 7270590 |
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The first fundamental theorem of invariant theory for the orthosymplectic supergroup (English)
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First fundamental theorems of invariant theory for quantum supergroups (English)
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3 February 2017
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5 November 2020
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The paper under review establishes a Schur-Weyl(-Brauer) type duality between the orthosymplectic supergroup of superdimension \((m| 2n)\) and the Brauer algebra with parameter \(m-2n\). When considering the corresponding theorem for the orthosymplectic Lie superalgebra, it is shown that one requires an extra invariant generator, the super-Pfaffian.
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Schur-Weyl duality
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orthosymplectic supergroup
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Brauer algebra
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super-Pfaffian
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quantum supergroup
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tensor invariant
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ribbon graph category
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0.9313327670097352
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0.8815535306930542
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0.8479257822036743
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0.8352559804916382
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0.8317918181419373
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