Looking for access to original paper for Category OComparing two similar procedures for quantizing a Casimir...
Looking for access to original paper for Category O
Comparing two similar procedures for quantizing a Casimir Lie algebraWhat is a concomitant (and other questions on D.E. Littlewood's “Products and plethysms of characters with orthogonal, symplectic, and symmetric groups” )?What is the “permanence relation” really?Invariant functor for admissible representations of reductive groups over local fieldsIs there a gerbe Beilinson-Bernstein Localization?reference for list of left-regular representations of real associative algebrasBuilding a representation out of a generalized Verma moduleUpdate on list of open problems for Cherednik/Symplectic Reflection AlgebrasFailure of surjectivity in Hotta-Springer specialization: examples for special unipotents?BGG resolution for characters of reductive groups
$begingroup$
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.
rt.representation-theory
$endgroup$
add a comment |
$begingroup$
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.
rt.representation-theory
$endgroup$
$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
50 mins ago
add a comment |
$begingroup$
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.
rt.representation-theory
$endgroup$
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
rt.representation-theory
asked 1 hour ago
James CheungJames Cheung
36016
36016
$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
50 mins ago
add a comment |
$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
50 mins ago
$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
50 mins ago
$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
50 mins ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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)
$endgroup$
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "504"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathoverflow.net%2fquestions%2f324337%2flooking-for-access-to-original-paper-for-category-o%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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)
$endgroup$
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
add a comment |
$begingroup$
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)
$endgroup$
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
add a comment |
$begingroup$
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)
$endgroup$
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)
edited 34 mins ago
answered 1 hour ago
Carlo BeenakkerCarlo Beenakker
77.5k9182286
77.5k9182286
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
add a comment |
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
$begingroup$
Is there an English translation?
$endgroup$
– Vít Tuček
51 mins ago
add a comment |
Thanks for contributing an answer to MathOverflow!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathoverflow.net%2fquestions%2f324337%2flooking-for-access-to-original-paper-for-category-o%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
The Russian original (thiugh very concise) is freely available online, the (less reliable) English translation less so: mathnet.ru/php/…
$endgroup$
– Jim Humphreys
50 mins ago