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Reduced symmetric powers of natural realizations of the groups SLm(P) and SPm(P) and their restrictions to subgroups

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Literature Cited

  1. G. M. Seitz, The Maximal Subgroups of Classical Algebraic Groups, Mem. AMS, Providence (1987).

  2. I. D. Suprunenko, “On the restrictions of the group SL(m, K) to classical groups,” Preprint, AN BSSR, Inst. Mat., No. 16, Minsk (1984).

    Google Scholar 

  3. A. M. Adamovich, “The structure of some indecomposable representations of GLn over a field of finite characteristic,” Algebra, Logic, and Number Theory, 7th Thematic Conference of the Mechanical-Mathematical Faculty of the MGU, February–March, 1985, MGU, Moscow (1986), pp. 8–12.

  4. S. R. Doty, “The submodule structure of certain Weyl modules for groups of type An,” J. Algebra,95, No. 2, 373–383 (1985).

    Google Scholar 

  5. A. E. Zalesskii and I. D. Suprunenko, “Modular permutation representations and a fragment of the decomposition matrix for the symplectic and special linear groups over a finite field,” Preprint AN BSSR, Inst. Mat., No. 16, Minsk (1987).

  6. R. Steinberg, Lectures on Chevalley Groups, Yale University Press (1967).

  7. N. Bourbaki, Lie Groups and Lie Algebras, Coxeter Groups and Tits Systems. Groups Generated by Reflections. Root Systems [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  8. N. Bourbaki, Lie Groups and Lie Algebras. Cartan Subalgebras, Regular Elements, Semisimple Deployed Lie Algebras [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  9. J. C. Jantzen, Representations of Algebraic Groups, Academic Press, Boston (1987).

    Google Scholar 

  10. D. A. Suprunenko, Matrix Groups [in Russian], Nauka, Moscow (1972).

    Google Scholar 

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Minsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 33–46, July–August, 1990.

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Zalesskii, A.E., Suprunenko, I.D. Reduced symmetric powers of natural realizations of the groups SLm(P) and SPm(P) and their restrictions to subgroups. Sib Math J 31, 555–566 (1990). https://doi.org/10.1007/BF00970625

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  • DOI: https://doi.org/10.1007/BF00970625

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