On Lusztig bases in quantum superalgebras of \(A(m,n)\) type (Q2719483)
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scientific article; zbMATH DE number 1609722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Lusztig bases in quantum superalgebras of \(A(m,n)\) type |
scientific article; zbMATH DE number 1609722 |
Statements
25 June 2001
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superalgebras of \(A(m,n)\) type
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Lusztig bases
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quantum Serre superalgebras
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highest weight
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0.91714746
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0.90932846
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0.90307987
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0.8901298
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0.8834344
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0.8761634
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0.8758611
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On Lusztig bases in quantum superalgebras of \(A(m,n)\) type (English)
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This paper continues the author's investigations [see ibid. 4-5, No. 1, 3-22 (1997; Zbl 0963.17007)]. The author proposes a construction of special bases (Lusztig bases) in the quantum Serre superalgebras which are associated with the Drinfeld-Jimbo superalgebras \(U_q(\mathfrak g)\) (of \(A(m,n)\) type). Besides, the information on modules with highest weight over \(U_q(\mathfrak g)\) is used efficiently.
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