Tensor products of finite and infinite dimensional representations of semisimple Lie algebras

J. N. Bernstein; S. I. Gelfand

Compositio Mathematica (1980)

  • Volume: 41, Issue: 2, page 245-285
  • ISSN: 0010-437X

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Bernstein, J. N., and Gelfand, S. I.. "Tensor products of finite and infinite dimensional representations of semisimple Lie algebras." Compositio Mathematica 41.2 (1980): 245-285. <http://eudml.org/doc/89458>.

@article{Bernstein1980,
author = {Bernstein, J. N., Gelfand, S. I.},
journal = {Compositio Mathematica},
keywords = {infinite dimensional representations; semisimple Lie algebra; Verma modules; tensor product; projective functor; irreducible Harish-Chandra modules; principal series modules; category of finite modules; category O},
language = {eng},
number = {2},
pages = {245-285},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Tensor products of finite and infinite dimensional representations of semisimple Lie algebras},
url = {http://eudml.org/doc/89458},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Bernstein, J. N.
AU - Gelfand, S. I.
TI - Tensor products of finite and infinite dimensional representations of semisimple Lie algebras
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 2
SP - 245
EP - 285
LA - eng
KW - infinite dimensional representations; semisimple Lie algebra; Verma modules; tensor product; projective functor; irreducible Harish-Chandra modules; principal series modules; category of finite modules; category O
UR - http://eudml.org/doc/89458
ER -

References

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Citations in EuDML Documents

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  1. Volodymyr Mazorchuk, Vanessa Miemietz, Serre functors for Lie algebras and superalgebras
  2. G. Van Dijk, M. Poel, The irreducible unitary GL ( n - 1 , ) -spherical representations of SL ( n , )
  3. William M. McGovern, A remark on differential operator algebras and an equivalence of categories
  4. Aboubeker Zahid, Les endomorphismes k -finis des modules de Whittaker
  5. O. Gabber, A. Joseph, Towards the Kazhdan-Lusztig conjecture
  6. O. Gabber, A. Joseph, On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
  7. Patrick Polo, On the K -theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras : the singular case
  8. Ivan Penkov, Vera Serganova, On bounded generalized Harish-Chandra modules
  9. Hisayosi Matumoto, C - -Whittaker vectors corresponding to a principal nilpotent orbit of a real reductive linear Lie group, and wave front sets
  10. Hisayosi Matumoto, C - -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

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