Square-Zero Basis of Matrix Lie Algebras
Mathematics 2020, 8, 1032 A method is obtained to compute the maximum number of functionally independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a base of square-zero matrices. Some applications are also given.
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Language: | English |
| Published: |
17-07-2018
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | Mathematics 2020, 8, 1032 A method is obtained to compute the maximum number of functionally
independent invariant functions under the action of a linear algebraic group as
long as its Lie algebra admits a base of square-zero matrices. Some
applications are also given. |
|---|---|
| AbstractList | Mathematics 2020, 8, 1032 A method is obtained to compute the maximum number of functionally
independent invariant functions under the action of a linear algebraic group as
long as its Lie algebra admits a base of square-zero matrices. Some
applications are also given. |
| Author | Díaz, R. Durán Encinas, L. Hernández Masqué, J. Muñoz Martínez, V. Gayoso |
| Author_xml | – sequence: 1 givenname: R. Durán surname: Díaz fullname: Díaz, R. Durán – sequence: 2 givenname: V. Gayoso surname: Martínez fullname: Martínez, V. Gayoso – sequence: 3 givenname: L. Hernández surname: Encinas fullname: Encinas, L. Hernández – sequence: 4 givenname: J. Muñoz surname: Masqué fullname: Masqué, J. Muñoz |
| BackLink | https://doi.org/10.48550/arXiv.1807.06502$$DView paper in arXiv https://doi.org/10.3390/math8061032$$DView published paper (Access to full text may be restricted) |
| BookMark | eNotzrFuwjAUQFEPdICUD2DCI0tSx7H9nBGiUpCCGGBiiZ4dB1kCAg4g-veolOluV2dAeqf25AgZpSwRWkr2heHh70mqGSRMScb7ZLK53DC4eOdCS2fY-Y62DV3hNfgHLb2j08PemYDdJ_lo8NC54bsR2c6_t8UiLtc_y2Jaxig5xMZy2whg1giOSiowWkAGXKISyFLlrOa8NjUAyzOsBfBcgDbGYpMLgy6LyPh_-6JW5-CPGH6rP3L1ImdPyUk76A |
| ContentType | Journal Article |
| Copyright | http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| Copyright_xml | – notice: http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| DBID | AKZ GOX |
| DOI | 10.48550/arxiv.1807.06502 |
| DatabaseName | arXiv Mathematics arXiv.org |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| ExternalDocumentID | 1807_06502 |
| GroupedDBID | AKZ GOX |
| ID | FETCH-LOGICAL-a527-bc2cf470cb42a6567b8473725a64a016ec822dbd77093ad4729478bbcaf94bae3 |
| IEDL.DBID | GOX |
| IngestDate | Mon Jan 08 05:36:57 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a527-bc2cf470cb42a6567b8473725a64a016ec822dbd77093ad4729478bbcaf94bae3 |
| OpenAccessLink | https://arxiv.org/abs/1807.06502 |
| ParticipantIDs | arxiv_primary_1807_06502 |
| PublicationCentury | 2000 |
| PublicationDate | 2018-07-17 |
| PublicationDateYYYYMMDD | 2018-07-17 |
| PublicationDate_xml | – month: 07 year: 2018 text: 2018-07-17 day: 17 |
| PublicationDecade | 2010 |
| PublicationYear | 2018 |
| Score | 1.7058337 |
| SecondaryResourceType | preprint |
| Snippet | Mathematics 2020, 8, 1032 A method is obtained to compute the maximum number of functionally
independent invariant functions under the action of a linear... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - Representation Theory |
| Title | Square-Zero Basis of Matrix Lie Algebras |
| URI | https://arxiv.org/abs/1807.06502 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdZ07T8MwEMct2okFgQCVpzwwsFi0jmPHY4GWDjyGdqhYojs_UCREIaGoHx_bCYKF1b7lbOnub5_vZ0IuhDaCowWGWpp4dSMZZsYxVFx6OQLPVex3ns3V47K4nURMDv3phYF6U321fGBsrkZFJAwGERGCbI_z-GTr7mnZFicTiquz_7ULGjMN_UkS012y06k7Om63Y49subd9cjn_CPvg2LOrV_QamqqhK08fIht_Q-8rR8evL7F82xyQxXSyuJmx7oMCBjlXDA03XqihQcEh6CKFIdRniucgBQQp5UzIvhatUkOdgRVBxwpVIBrwWiC47JD0wxnfDQiV0ngrde68yYQBrkMgAlXkkHklDfIjMkhule8tg6KMHpfJ4-P_p07IdsjvBUscyFPS_6zX7oz0Grs-Twv5DVAVcE0 |
| link.rule.ids | 228,230,782,887 |
| linkProvider | Cornell University |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Square-Zero+Basis+of+Matrix+Lie+Algebras&rft.au=D%C3%ADaz%2C+R.+Dur%C3%A1n&rft.au=Mart%C3%ADnez%2C+V.+Gayoso&rft.au=Encinas%2C+L.+Hern%C3%A1ndez&rft.au=Masqu%C3%A9%2C+J.+Mu%C3%B1oz&rft.date=2018-07-17&rft_id=info:doi/10.48550%2Farxiv.1807.06502&rft.externalDocID=1807_06502 |