On the existence of orthogonal decompositions of the simple Lie algebra of type C3
Orthogonal decompositions (OD:s) that are monomial have been constructed for most simple Lie algebras but in some cases the existence of an OD is still an open question. One such case is Lie algebras of type Cn where n is not a power of 2. In this paper we prove that C3 has no monomial OD (containin...
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| Format: | Article |
| Language: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
2000-05-01
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| Series: | Computer Science Journal of Moldova |
| Online Access: | http://www.math.md/nrofdownloads.php?file=/files/csjm/v8-n1/v8-n1-(pp16-41).pdf |
| _version_ | 1811278200002576384 |
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| author | A.Torstensson |
| author_facet | A.Torstensson |
| author_sort | A.Torstensson |
| collection | DOAJ |
| description | Orthogonal decompositions (OD:s) that are monomial have been constructed for most simple Lie algebras but in some cases the existence of an OD is still an open question. One such case is Lie algebras of type Cn where n is not a power of 2. In this paper we prove that C3 has no monomial OD (containing the standard Cartan subalgebra) by computational methods. |
| first_indexed | 2024-04-13T00:31:32Z |
| format | Article |
| id | doaj.art-c338c31a292245cf9260f14df71a03b2 |
| institution | Directory Open Access Journal |
| issn | 1561-4042 |
| language | English |
| last_indexed | 2024-04-13T00:31:32Z |
| publishDate | 2000-05-01 |
| publisher | Vladimir Andrunachievici Institute of Mathematics and Computer Science |
| record_format | Article |
| series | Computer Science Journal of Moldova |
| spelling | doaj.art-c338c31a292245cf9260f14df71a03b22022-12-22T03:10:28ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40422000-05-0181(22)1641On the existence of orthogonal decompositions of the simple Lie algebra of type C3A.Torstensson0Lund University, Department of Mathematics Solvegatan, 18, Box 118, S-22100, Lund, SwedenOrthogonal decompositions (OD:s) that are monomial have been constructed for most simple Lie algebras but in some cases the existence of an OD is still an open question. One such case is Lie algebras of type Cn where n is not a power of 2. In this paper we prove that C3 has no monomial OD (containing the standard Cartan subalgebra) by computational methods.http://www.math.md/nrofdownloads.php?file=/files/csjm/v8-n1/v8-n1-(pp16-41).pdf |
| spellingShingle | A.Torstensson On the existence of orthogonal decompositions of the simple Lie algebra of type C3 Computer Science Journal of Moldova |
| title | On the existence of orthogonal decompositions of the simple Lie algebra of type C3 |
| title_full | On the existence of orthogonal decompositions of the simple Lie algebra of type C3 |
| title_fullStr | On the existence of orthogonal decompositions of the simple Lie algebra of type C3 |
| title_full_unstemmed | On the existence of orthogonal decompositions of the simple Lie algebra of type C3 |
| title_short | On the existence of orthogonal decompositions of the simple Lie algebra of type C3 |
| title_sort | on the existence of orthogonal decompositions of the simple lie algebra of type c3 |
| url | http://www.math.md/nrofdownloads.php?file=/files/csjm/v8-n1/v8-n1-(pp16-41).pdf |
| work_keys_str_mv | AT atorstensson ontheexistenceoforthogonaldecompositionsofthesimpleliealgebraoftypec3 |