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Dimension formula for graded Lie algebras and its applications
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Seok-Jin | - |
dc.contributor.author | Kim, Myung-Hwan | - |
dc.date.accessioned | 2009-11-16T02:57:24Z | - |
dc.date.available | 2009-11-16T02:57:24Z | - |
dc.date.issued | 1999 | - |
dc.identifier.citation | Trans. Amer. Math. Soc. 351 (1999), 4281-4336 | en |
dc.identifier.issn | 0065-9290 | - |
dc.identifier.uri | https://hdl.handle.net/10371/12178 | - |
dc.description.abstract | In this paper, we investigate the structure of in nite dimensional
Lie algebras L = L 2 L graded by a countable abelian semigroup sat- isfying a certain niteness condition. The Euler-Poincar e principle yields the denominator identities for the -graded Lie algebras, from which we derive a dimension formula for the homogeneous subspaces L ( 2 ). Our dimen- sion formula enables us to study the structure of the -graded Lie algebras in a uni ed way. We will discuss some interesting applications of our dimension formula to the various classes of graded Lie algebras such as free Lie algebras, Kac-Moody algebras, and generalized Kac-Moody algebras. We will also dis- cuss the relation of graded Lie algebras and the product identities for formal power series. | en |
dc.language.iso | en | - |
dc.publisher | American Mathematical Society | en |
dc.subject | graded Lie algebras | en |
dc.subject | Dimension formula | en |
dc.title | Dimension formula for graded Lie algebras and its applications | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.contributor.AlternativeAuthor | 김명환 | - |
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