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T. J. Enright and N. R. Wallach

Notes on homological algebra and representations of Lie algebras

Source: Duke Math. J.  47 (1980), no. 1, 1–15

Primary Subjects: 17B10
Seconday Subjects: 17B56; 18E25; 18G10

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Euclid Identifier: euclid.dmj/1077313857
Mathmatical Reviews number (MathSciNet): 81c:17013

Zentralblatt Math Identifier : 0429.17012

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References

[1] I. N. Bernšteĭ n, I. M. Gel'fand, and S. I. Gel'fand, A certain category of ${\germ g}$-modules, Funkcional. Anal. i Priložen. 10 (1976), no. 2, 1–8, English translation Functional Anal. Appl. 1976 (10) 87–92.

Mathematical Reviews: 53:10880
Zentralblatt-MATH: 0353.18013

[2] A. Borel and N. Wallach, Continuous cohomology, discrete subgroups and representations of reductive groups, to appear in Annals of Math Studies.

[3] A. Grothendieck, Sur quelques points d'algèbre homologique, Tôhoku Math. J. (2) 9 (1957), 119–221.

Mathematical Reviews: 21:1328
Zentralblatt-MATH: 0118.26104

[4] P. J. Hilton and U. Stammbach, A course in homological algebra, Springer-Verlag, New York, 1971.

Mathematical Reviews: 49:10751
Zentralblatt-MATH: 0238.18006

[5] B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. (2) 74 (1961), 329–387.

Mathematical Reviews: 26:265
Zentralblatt-MATH: 0134.03501

[6] A. Rocha-Caridi, Splitting criteria for $\mathfrak{g}$-modules induced from a parabolic and the Bernstein-Gel'fand-Gel'fand resolution of a finite dimensional, irreducible $\mathfrak{g}$-module, to appear.

[7] G. Zuckerman, Construction of some modules via derived functors, to appear.

 


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