Looking for access to original paper for Category O












3












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It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.










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  • 2




    $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    Feb 28 at 12:23


















3












$begingroup$


It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.










share|cite|improve this question











$endgroup$








  • 2




    $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    Feb 28 at 12:23
















3












3








3





$begingroup$


It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.










share|cite|improve this question











$endgroup$




It is well-known that the BGG category $mathcal{O}$ was introduced in the early 1970s by Joseph Bernstein, Israel Gelfand and Sergei Gelfand. I google for a while but I cannot find out the original paper for defining Category $mathcal{O}$. Does anyone know where to find or what is the name of the paper? Please help me.







rt.representation-theory lie-algebras






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edited Feb 28 at 14:20









YCor

28.9k485140




28.9k485140










asked Feb 28 at 11:42









James CheungJames Cheung

42817




42817








  • 2




    $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    Feb 28 at 12:23
















  • 2




    $begingroup$
    The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
    $endgroup$
    – Jim Humphreys
    Feb 28 at 12:23










2




2




$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
Feb 28 at 12:23






$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
Feb 28 at 12:23












1 Answer
1






active

oldest

votes


















8












$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






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$endgroup$













  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    Feb 28 at 12:21










  • $begingroup$
    Thank you very much.
    $endgroup$
    – James Cheung
    Feb 28 at 14:48






  • 3




    $begingroup$
    Absurd that Springer is asking $40 for this article.
    $endgroup$
    – user1504
    Feb 28 at 18:01












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1 Answer
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active

oldest

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1 Answer
1






active

oldest

votes









active

oldest

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active

oldest

votes









8












$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    Feb 28 at 12:21










  • $begingroup$
    Thank you very much.
    $endgroup$
    – James Cheung
    Feb 28 at 14:48






  • 3




    $begingroup$
    Absurd that Springer is asking $40 for this article.
    $endgroup$
    – user1504
    Feb 28 at 18:01
















8












$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    Feb 28 at 12:21










  • $begingroup$
    Thank you very much.
    $endgroup$
    – James Cheung
    Feb 28 at 14:48






  • 3




    $begingroup$
    Absurd that Springer is asking $40 for this article.
    $endgroup$
    – user1504
    Feb 28 at 18:01














8












8








8





$begingroup$

Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)






share|cite|improve this answer











$endgroup$



Joseph N. Bernstein, Israel M. Gelfand, and Sergei I. Gelfand, Category of $mathfrak{g}$-modules, Functional Analysis and its Applications 10 (1976), 87–92. MR0407097
(English translation)







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited Feb 28 at 12:39

























answered Feb 28 at 12:09









Carlo BeenakkerCarlo Beenakker

79.5k9190292




79.5k9190292












  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    Feb 28 at 12:21










  • $begingroup$
    Thank you very much.
    $endgroup$
    – James Cheung
    Feb 28 at 14:48






  • 3




    $begingroup$
    Absurd that Springer is asking $40 for this article.
    $endgroup$
    – user1504
    Feb 28 at 18:01


















  • $begingroup$
    Is there an English translation?
    $endgroup$
    – Vít Tuček
    Feb 28 at 12:21










  • $begingroup$
    Thank you very much.
    $endgroup$
    – James Cheung
    Feb 28 at 14:48






  • 3




    $begingroup$
    Absurd that Springer is asking $40 for this article.
    $endgroup$
    – user1504
    Feb 28 at 18:01
















$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
Feb 28 at 12:21




$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
Feb 28 at 12:21












$begingroup$
Thank you very much.
$endgroup$
– James Cheung
Feb 28 at 14:48




$begingroup$
Thank you very much.
$endgroup$
– James Cheung
Feb 28 at 14:48




3




3




$begingroup$
Absurd that Springer is asking $40 for this article.
$endgroup$
– user1504
Feb 28 at 18:01




$begingroup$
Absurd that Springer is asking $40 for this article.
$endgroup$
– user1504
Feb 28 at 18:01


















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