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Linear algebraic approach to Grobner-Shirshov basis theory
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Seok-Jin | - |
dc.contributor.author | Lee, Dong-il | - |
dc.contributor.author | Lee, Kyu-Hwan | - |
dc.contributor.author | Park, Hyungju | - |
dc.date.accessioned | 2009-11-16 | - |
dc.date.available | 2009-11-16 | - |
dc.date.issued | 2007-07-15 | - |
dc.identifier.citation | J. Algebra 313 (2007) 988-1004 | en |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | https://hdl.handle.net/10371/12163 | - |
dc.description.abstract | We construct a new efficient algorithm for finding Gröbner–Shirshov bases for noncommutative algebras and their representations. This algorithm uses the Macaulay matrix [F.S. Macaulay, On some formula in elimination, Proc. London Math. Soc. 33 (1) (1902) 3–27], and can be viewed as a representation theoretic analogue of the F_4 algorithm developed by J.C. Faugère. We work out some examples of universal enveloping algebras of Lie algebras and of their representations to illustrate the algorithm. | en |
dc.description.sponsorship | This research was supported by KRF Grant #2005-070-C00004. | en |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.subject | Gröbner–Shirshov basis | en |
dc.subject | Gröbner–Shirshov pair | en |
dc.subject | Monomial basis | en |
dc.subject | Macaulay matrix | en |
dc.subject | Noncommutative algebra | en |
dc.subject | Representation | en |
dc.subject | Simple Lie algebra | en |
dc.subject | Universal enveloping algebra | en |
dc.title | Linear algebraic approach to Grobner-Shirshov basis theory | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.contributor.AlternativeAuthor | 이동일 | - |
dc.contributor.AlternativeAuthor | 이규환 | - |
dc.contributor.AlternativeAuthor | 박형주 | - |
dc.identifier.doi | 10.1016/j.jalgebra.2007.02.001 | - |
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