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VALUATIONS OF LIE ALGEBRAS
http://hdl.handle.net/10780/2119
http://hdl.handle.net/10780/211947e9b89e-f923-438f-9162-c332e344c3ea
名前 / ファイル | ライセンス | アクション |
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3-01-坂本 隆則.pdf (1.2 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2019-03-19 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | VALUATIONS OF LIE ALGEBRAS | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ETYP:教育関連論文 | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
著者 |
坂本, 隆則
× 坂本, 隆則× 本多, 政宣 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We introduce the concept of valuations of Lie algebras and completions of valued Lie algebras. We show that if (L, | · |) is a valued Lie algebra then there is the unique completion (L , | · | ) up to isomorphism. We show that if a subalgebra H of L is a weak subideal of L (resp. a subideal of L, finitedimensional, soluble, nilpotent) then its topological closure H in (L , | · | ) is a weak subideal of L (resp. a subideal of L , finite-dimensional, soluble, nilpotent). We also introduce valuations |·| of the generalized Witt algebra WZ and present some properties of (W Z , | · |). Finally we illustrate the completion of (WZ, | · |) with a specific example. |
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書誌情報 |
福岡教育大学紀要. 第三分冊, 数学・理科・技術科編 Bulletin of University of Teacher Education Fukuoka. Part III, Mathematics, natural sciences and technology 巻 68, p. 1-13, 発行日 2019-03-10 |
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出版者 | ||||||
出版者 | 福岡教育大学 | |||||
資源タイプ | ||||||
値 | 紀要論文 Article |