Gradings for nilpotent Lie algebras
We present a constructive approach to torsion-free gradings of Lie algebras. Our main result is the computation of a maximal grading. Given a Lie algebra, using its maximal grading we enumerate all of its torsion-free gradings as well as its positive gradings. As applications, we classify gradings i...
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| creator | Hakavuori, Eero Kivioja, Ville Moisala, Terhi Tripaldi, Francesca |
| description | We present a constructive approach to torsion-free gradings of Lie algebras.
Our main result is the computation of a maximal grading. Given a Lie algebra,
using its maximal grading we enumerate all of its torsion-free gradings as well
as its positive gradings. As applications, we classify gradings in low
dimension, we consider the enumeration of Heintze groups, and we give methods
to find bounds for non-vanishing $\ell^{q,p}$ cohomology. |
| doi_str_mv | 10.48550/arxiv.2011.06871 |
| format | Article |
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Our main result is the computation of a maximal grading. Given a Lie algebra,
using its maximal grading we enumerate all of its torsion-free gradings as well
as its positive gradings. As applications, we classify gradings in low
dimension, we consider the enumeration of Heintze groups, and we give methods
to find bounds for non-vanishing $\ell^{q,p}$ cohomology.</description><identifier>DOI: 10.48550/arxiv.2011.06871</identifier><language>eng</language><subject>Mathematics - Differential Geometry ; Mathematics - Group Theory ; Mathematics - Metric Geometry ; Mathematics - Rings and Algebras</subject><creationdate>2020-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2011.06871$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2011.06871$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Hakavuori, Eero</creatorcontrib><creatorcontrib>Kivioja, Ville</creatorcontrib><creatorcontrib>Moisala, Terhi</creatorcontrib><creatorcontrib>Tripaldi, Francesca</creatorcontrib><title>Gradings for nilpotent Lie algebras</title><description>We present a constructive approach to torsion-free gradings of Lie algebras.
Our main result is the computation of a maximal grading. Given a Lie algebra,
using its maximal grading we enumerate all of its torsion-free gradings as well
as its positive gradings. As applications, we classify gradings in low
dimension, we consider the enumeration of Heintze groups, and we give methods
to find bounds for non-vanishing $\ell^{q,p}$ cohomology.</description><subject>Mathematics - Differential Geometry</subject><subject>Mathematics - Group Theory</subject><subject>Mathematics - Metric Geometry</subject><subject>Mathematics - Rings and Algebras</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzrkKwkAUQNFpLET9ACsD1omzZLZSxA0CNunDG_MmDMQkTET078Wlut3lELJkNMuNlHQD8RkeGaeMZVQZzaZkfYxQh64ZE9_HpAvt0N-xuydFwATaBl2EcU4mHtoRF__OSHnYl7tTWlyO5922SEFpltbIOXgvOVc010gtF04YvCqmmbDSUCek8UZxpZREsE5b4aW7ci-sy9GKGVn9tl9lNcRwg_iqPtrqqxVvLFU4Jg</recordid><startdate>20201113</startdate><enddate>20201113</enddate><creator>Hakavuori, Eero</creator><creator>Kivioja, Ville</creator><creator>Moisala, Terhi</creator><creator>Tripaldi, Francesca</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20201113</creationdate><title>Gradings for nilpotent Lie algebras</title><author>Hakavuori, Eero ; Kivioja, Ville ; Moisala, Terhi ; Tripaldi, Francesca</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-de22aff5226047e0923b38ec617139580b358f8626665ea9b793f5bc2f39b4e93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Differential Geometry</topic><topic>Mathematics - Group Theory</topic><topic>Mathematics - Metric Geometry</topic><topic>Mathematics - Rings and Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>Hakavuori, Eero</creatorcontrib><creatorcontrib>Kivioja, Ville</creatorcontrib><creatorcontrib>Moisala, Terhi</creatorcontrib><creatorcontrib>Tripaldi, Francesca</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Hakavuori, Eero</au><au>Kivioja, Ville</au><au>Moisala, Terhi</au><au>Tripaldi, Francesca</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Gradings for nilpotent Lie algebras</atitle><date>2020-11-13</date><risdate>2020</risdate><abstract>We present a constructive approach to torsion-free gradings of Lie algebras.
Our main result is the computation of a maximal grading. Given a Lie algebra,
using its maximal grading we enumerate all of its torsion-free gradings as well
as its positive gradings. As applications, we classify gradings in low
dimension, we consider the enumeration of Heintze groups, and we give methods
to find bounds for non-vanishing $\ell^{q,p}$ cohomology.</abstract><doi>10.48550/arxiv.2011.06871</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| subjects | Mathematics - Differential Geometry Mathematics - Group Theory Mathematics - Metric Geometry Mathematics - Rings and Algebras |
| title | Gradings for nilpotent Lie algebras |
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