| Title:
|
On multiplicities of simple subquotients in generalized Verma modules (English) |
| Author:
|
Khomenko, Alexandre |
| Author:
|
Mazorchuk, Volodymyr |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2002 |
| Pages:
|
337-343 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We reduce the problem on multiplicities of simple subquotients in an $\alpha $-stratified generalized Verma module to the analogous problem for classical Verma modules. (English) |
| Keyword:
|
simple Lie algebra |
| Keyword:
|
Verma module |
| Keyword:
|
multiplicity |
| MSC:
|
17B10 |
| MSC:
|
22E47 |
| idZBL:
|
Zbl 1008.17004 |
| idMR:
|
MR1905441 |
| . |
| Date available:
|
2009-09-24T10:51:35Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127722 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[5] V. Futorny and V. Mazorchuk: Structure of $\alpha $-stratified modules for finite-dimensional Lie algebras.J. Algebra I, 183 (1996), 456–482. MR 1399036, 10.1006/jabr.1996.0229 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[8] V. S. Mazorchuk: The structure of an $\alpha $-stratified generalized Verma module over Lie Algebra $\mathop {\mathrm sl}(n,{\mathbb{C}})$.Manuscripta Math. 88 (1995), 59–72. MR 1348790, 10.1007/BF02567805 |
| Reference:
|
[9] A. Rocha-Caridi: Splitting criteria for $G$-modules induced from a parabolic and a Bernstein-Gelfand-Gelfand resolution of a finite-dimensional, irreducible $G$-module.Trans. Amer. Math. Soc. 262 (1980), 335–366. MR 0586721 |
| . |
