The semi-infinite cohomology of affine lie algebras

Communications in Mathematical Physics

Volumn 194, Issue 3, 1998, Pages 591-611

  Hwang, Stephen ^a  

^a KARLSTAD UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032474314     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050370     Document Type: Article

References (21)

1. Karabali, D. and Schnitzer, H.: BRST quantization of the gauged WZW action and coset conformal field theories. Nucl. Phys. B329, 649-666 (1990)
2. Hwang, S. and Rhedin, H.: The BRST formulation of G/H WZNW models. Nucl. Phys. B406, 165-184 (1993)
3. Hwang, S. and Rhedin, H.: Construction of BRST invariant states in G/H models. Phys. Lett. B350, 38-43 (1995) (hep-th/9501084)
4. Malikov, F.G., Feigin, B.L. and Fuks, D.B.: Singular vectors in Verma modules over Kac-Moody algebras. Funkt. Anal. Ego Prilozh. 20, 25-37 (1986) (English translation in Funkt. Anal. Appl. 20, 103-113 (1986))
5. Malikov, F.G., Feigin, B.L. and Fuks, D.B.: Singular vectors in Verma modules over Kac-Moody algebras. Funkt. Anal. Ego Prilozh. 20, 25-37 (1986) (English translation in Funkt. Anal. Appl. 20, 103-113 (1986))
6. Jantzen, J.C.: Moduln mit einem höchsten Gewicht. Lecture notes in Mathematics, Eds. A. Dold and B. Eckmann, Berlin-Heidelberg-New York: Springer-Verlag, 1979
7. Rocha-Caridi, A. and Wallach, N.R.: Projective modules over graded Lie algebras I. Math. Z. 180, 151-177 (1982)
8. Kugo, T. and Ojima, I.: Local covariant operator formalism of non-abelian gauge theories and quark confinement problem. Suppl. Prog. Theor. Phys. 66, 1-130 (1979)
9. Rocha-Caridi, A. and Wallach, N.R.: Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Trans. Am. Math. Soc. 277, 133-162 (1983)
10. Kac, V.G. and Peterson, D.: Infinite dimensional Lie algebras, theta functions and modular forms. Adv. Math. 53, 125-264 (1984)
11. Kac, V.G. and Kazhdan, D.A.: Structure of representations with highst weight of infinite-dimensional Lie algebras. Adv. in Math. 34, 97-108 (1979)
12. Bernstein, I.N., Gel'fand, I.M. and Gel'fand, S.I.: Structure of representations generated by vectors of highest weight. Funct. Anal. App. 5, 1-8 (1971)
13. Conze, N. and Dixmier, J.: Idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple. Bull. Sc. Math 96, 339-351 (1972)
14. Kac, V.G.: Infinite dimensional Lie algebras. Third edition, Cambridge: Cambridge Univ. Press, 1990
15. Dixmier, J.: Enveloping Algebras. North Holland Mathematical library, Amsterdam: North Holland Publ. Co., 1977
16. Verma, D.-N.: Structure of certain induced representations of complex semisimple Lie algebras. Bull. Amer. Math. Soc. 74, 160-166 (1968)
17. Humphreys, J.: Introduction to Lie algebras and representation theory. Revised edition, Berlin-Heidelberg-New York: Springer-Verlag, 1980
18. Hwang, S. and Marnelius, R.: BRST symmetry and a general ghost decoupling theorem. Nucl. Phys. B320, 476-486 (1989)
19. Enright, T.J.: On the fundamental series of a real semisimple Lie algebra: Their irreducibility, resolutions and multiplicity formulae. Ann. of Math. 110, 1-82 (1979)
20. Bernstein, I.N., Gel'fand, I.M. and Gel'fand, S.I.: Differential operators on the base affine space and the study of g-modules. In: I.M. Gel'fand, ed., Publ. of the 1971 summer school in Math., Janos Bolyai Math. Soc., Budapest, pp. 21-64
21. Lian, B.H. and Zuckermann, G.: BRST cohomology and highest weight vectors. Comm. Math. Phys. 135, 547-580 (1991)