On multiplicities of simple subquotients in generalized Verma modules

Alexandre Khomenko; Volodymyr Mazorchuk

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 337-343
  • ISSN: 0011-4642

Abstract

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We reduce the problem on multiplicities of simple subquotients in an α -stratified generalized Verma module to the analogous problem for classical Verma modules.

How to cite

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Khomenko, Alexandre, and Mazorchuk, Volodymyr. "On multiplicities of simple subquotients in generalized Verma modules." Czechoslovak Mathematical Journal 52.2 (2002): 337-343. <http://eudml.org/doc/30704>.

@article{Khomenko2002,
abstract = {We reduce the problem on multiplicities of simple subquotients in an $\alpha $-stratified generalized Verma module to the analogous problem for classical Verma modules.},
author = {Khomenko, Alexandre, Mazorchuk, Volodymyr},
journal = {Czechoslovak Mathematical Journal},
keywords = {simple Lie algebra; Verma module; multiplicity; simple Lie algebra; Verma module; multiplicity},
language = {eng},
number = {2},
pages = {337-343},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On multiplicities of simple subquotients in generalized Verma modules},
url = {http://eudml.org/doc/30704},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Khomenko, Alexandre
AU - Mazorchuk, Volodymyr
TI - On multiplicities of simple subquotients in generalized Verma modules
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 337
EP - 343
AB - We reduce the problem on multiplicities of simple subquotients in an $\alpha $-stratified generalized Verma module to the analogous problem for classical Verma modules.
LA - eng
KW - simple Lie algebra; Verma module; multiplicity; simple Lie algebra; Verma module; multiplicity
UR - http://eudml.org/doc/30704
ER -

References

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  1. 10.1007/BF01389272, Inv. Math. 64 (1981), 387–410. (1981) MR0632980DOI10.1007/BF01389272
  2. 10.1007/BF01166705, Math. Z. 195 (1987), 581–600. (1987) MR0900346DOI10.1007/BF01166705
  3. Stratified L-modules, J. Algebra 163 (1994), 219–234. (1994) MR1257315
  4. Algebres Enveloppantes, Gauthier-Villars, Paris, 1974. (1974) Zbl0308.17007MR0498737
  5. 10.1006/jabr.1996.0229, J. Algebra I, 183 (1996), 456–482. (1996) MR1399036DOI10.1006/jabr.1996.0229
  6. 10.1080/00927879908826460, Comm. Algebra 27 (1999), 777–783. (1999) MR1671979DOI10.1080/00927879908826460
  7. 10.5802/aif.1765, Ann. Inst. Fourier (Grenoble) 50 (2000), 537–592. (2000) Zbl0962.17002MR1775361DOI10.5802/aif.1765
  8. 10.1007/BF02567805, Manuscripta Math. 88 (1995), 59–72. (1995) MR1348790DOI10.1007/BF02567805
  9. 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. (1980) MR0586721

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