Quantum supergroups. II: Canonical basis (Q2922916)
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scientific article; zbMATH DE number 6355680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum supergroups. II: Canonical basis |
scientific article; zbMATH DE number 6355680 |
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15 October 2014
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quantum supergroup
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crystal basis
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canonical basis
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anisotropic type
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Quantum supergroups. II: Canonical basis (English)
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The second paper of the series constructs crystal and canonical bases for quantum supergroups with no isotropic simple roots and for their integrable modules. The paper mostly follows the original algebraic approach of Kashiwara as Lusztig's geometric approach is not directly applicable. A special feature of the super setting is that neither a crystal basis nor a signed crystal basis affords an orthonormality characterization in general.NEWLINENEWLINEPart I, see Transform. Groups 18, No. 4, 1019--1053 (2013; Zbl 1359.17023); Part III, see Commun. Math. Phys. 332, No. 1, 415--436 (2014; Zbl 1359.17022) and Part IV, see Math. Z. 278, No. 1--2, 493--528 (2014; Zbl 1364.17015).
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