The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra
Set L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized.
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7829521 |
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| _version_ | 1832566445812219904 |
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| author | Xue Chen |
| author_facet | Xue Chen |
| author_sort | Xue Chen |
| collection | DOAJ |
| description | Set L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized. |
| format | Article |
| id | doaj-art-e3ca99b5a14d4e3c8bf28130f5c17ba0 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e3ca99b5a14d4e3c8bf28130f5c17ba02025-02-03T01:04:18ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/78295217829521The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie AlgebraXue Chen0School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, ChinaSet L≔H4⊗ℂR, R≔ℂt±1, and S≔ℂt±1/mm∈ℤ+. Then, L is called the loop Nappi–Witten Lie algebra. R-isomorphism classes of S/R forms of L are classified. The automorphism group and the derivation algebra of L are also characterized.http://dx.doi.org/10.1155/2021/7829521 |
| spellingShingle | Xue Chen The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra Journal of Mathematics |
| title | The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra |
| title_full | The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra |
| title_fullStr | The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra |
| title_full_unstemmed | The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra |
| title_short | The Classification, Automorphism Group, and Derivation Algebra of the Loop Algebra Related to the Nappi–Witten Lie Algebra |
| title_sort | classification automorphism group and derivation algebra of the loop algebra related to the nappi witten lie algebra |
| url | http://dx.doi.org/10.1155/2021/7829521 |
| work_keys_str_mv | AT xuechen theclassificationautomorphismgroupandderivationalgebraoftheloopalgebrarelatedtothenappiwittenliealgebra AT xuechen classificationautomorphismgroupandderivationalgebraoftheloopalgebrarelatedtothenappiwittenliealgebra |