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Constructive modules and extremal projectors over Chevalley algebras

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References

  1. D. P. Zhelobenko, “S-algebras and Verma modules over reductive Lie algebras,” Dokl. Akad. Nauk SSSR,273, No. 4, 785–788 (1983).

    Google Scholar 

  2. D. P. Zhelobenko, “Extremal cocycles on Weyl groups,” Funkts. Anal. Prilozhen.,21, No. 3, 11–21 (1987).

    Google Scholar 

  3. D. P. Zhelobenko, “Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras,” Izv. Akad. Nauk SSSR, Ser. Mat.,52, No. 4, 758–773 (1988).

    Google Scholar 

  4. D. P. Zhelobenko, “An introduction to the theory ofS-algebras over reductive Lie algebras,” In: Representations of Lie Groups and Related Topics, Adv. Study in Contemporary Math.,7, Gordon and Breach, N.Y. (1990).

    Google Scholar 

  5. D. P. Zhelobenko, “S-algebras and Harish-Chandra modules over reductive Lie algebras,” Dokl. Akad. Nauk SSSR,283, No. 5, 1306–1308 (1985).

    Google Scholar 

  6. D. P. Zhelobenko, “On the extremal projectors over reductive Lie algebras,” In: Scattering, Reactions, Transitions in Quantum Systems and Symmetry Methods, Obninsk (1990).

  7. D. P. Zhelobenko, “Constructive modules and extremal projectors over reductive Lie algebras,” In: Symmetry Methods in Physics, Tbilisi (1991).

  8. V. V. Deodhar, O. Gabber, and V. G. Kac, “Structure of some categories of representations of infinite dimensional Lie algebras,” Adv. Math.,45, 92–116 (1982).

    Google Scholar 

  9. V. G. Kac, Infinite Dimensional Lie Algebras, Cambridge Univ. Press, (1985).

  10. V. G. Kac, “Laplace operators of infinite dimensional Lie algebra and theta-functions,” Proc. Nat. Acad. Sci.,81, 645–647 (1984).

    Google Scholar 

  11. V. G. Kac and D. A. Kazhdan, “Structure of representations with highest weight of infinite dimensional Lie algebras,” Adv. Math.,34, 97–108 (1979).

    Google Scholar 

  12. M. Kashiwara, “The universal Verma module and theb-function,” Adv. Study in Pure Math., Algebraic Groups and Related Topics,6, 67–81 (1985).

    Google Scholar 

  13. V. N. Tolstoy, “Extremal projectors for contragredient Lie algebras and superalgebras of finite growth,” Usp. Mat. Nauk,44, No. 1, 211–212 (1989).

    Google Scholar 

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Peoples Friendship Russian University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 27, No. 3, pp. 5–14, July–September, 1993.

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Zhelobenko, D.P. Constructive modules and extremal projectors over Chevalley algebras. Funct Anal Its Appl 27, 158–165 (1993). https://doi.org/10.1007/BF01087533

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