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あぁかがさざただなはばぱまやゃらわゎんいぃきぎしじちぢにひびぴみりうぅくぐすずつづっぬふぶぷむゆゅるえぇけげせぜてでねへべぺめれおぉこごそぞとどのほぼぽもよょろを

アァカサザタダナハバパマヤャラワヮンイィキギシジチヂニヒビピミリウゥクグスズツヅッヌフブプムユュルエェケゲセゼテデヘベペメレオォコゴソゾトドノホボポモヨョロヲ ―

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Relation between the representations of a semisimple Lie algebra L and their weight spaces

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https://www.riss.kr/link?id=A1999819

저자

Kim,Yeon Ok
발행기관
崇田大學校
학술지명
論文集
권호사항

Vol.15 No.1 [1985]
발행연도
1985
작성언어
English
KDC
050
자료형태
학술저널
수록면

115-120(6쪽)
제공처
RISS

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다국어 초록 (Multilingual Abstract)

L denote the finite dimensional semi-simple Lie algebra over an algebraically closed field F of characteristic zero.
Harish-Chandra [2] obtained some properties of weight which are generalized by F.W.Lemire[2]
In this paper, we make a further study and another proofs about followings.
(1)Every irreducible representation ρ fo L over a finite dimensional vector space V (V≠0)
(2)Given any two irreducible representation ρ1, ρ2 on V1, V2 which admits λ as a highest weight, ρ1 is equivalent to ρ2.

번역하기

L denote the finite dimensional semi-simple Lie algebra over an algebraically closed field F of characteristic zero. Harish-Chandra [2] obtained some properties of weight which are generalized by F.W.Lemire[2] In this paper, we make a further study an...

L denote the finite dimensional semi-simple Lie algebra over an algebraically closed field F of characteristic zero.
Harish-Chandra [2] obtained some properties of weight which are generalized by F.W.Lemire[2]
In this paper, we make a further study and another proofs about followings.
(1)Every irreducible representation ρ fo L over a finite dimensional vector space V (V≠0)
(2)Given any two irreducible representation ρ1, ρ2 on V1, V2 which admits λ as a highest weight, ρ1 is equivalent to ρ2.