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Exact borel subalgebras of quasi-hereditary algebras, I

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References

  1. Bernstein, I.N., Gelfand, I.M., Gelfand, S.I.: A category of g-modules. Funct. Anal. and Appl.10, 87–92 (1976)

    Article  MathSciNet  Google Scholar 

  2. Cline, E., Parshall, B., Scott, L.: Finite dimensional algebras and highest weight categories, J. Reine Angew. Math.391, 85–99 (1988)

    MATH  MathSciNet  Google Scholar 

  3. Dixmier, J.: Algèbres enveloppantes. Gauthiers-Villars, Paris-Bruxeller-Montréal 1974

    MATH  Google Scholar 

  4. Dlab, V., Ringel, C.M.: Quasi-hereditary algebras. Illinois J. Math.33, 280–291 (1989)

    MATH  MathSciNet  Google Scholar 

  5. Dlab, V., Ringel, C.M.: Towers of semi-simple algebras, J. of Funct. Anal.102, 35–46 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  6. Dlab, V., Ringel, C.M.: The module theoretical approach to quasi-hereditary algebras. In: Tachikawa, H and Brenner, S. (Eds.): Representations of algebras and related topics, London Mathematical Society LN Series168, 200–224 (1992)

  7. Donkin, S.: On Schur algebras and related algebras I. J. Alg.104, 310–328 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  8. Donkin, S.: On Schur algebras and related algebras II. J. Alg.111, 354–364 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  9. Goodman, F.M., De la Harpe, P., Jones, V.F.R.: Coxeter graphs and towers of algebras. Springer (1989)

  10. Green, J.A.: On certain subalgebras of the Schur algebra, J. Alg.131, 265–280 (1990)

    Article  MATH  Google Scholar 

  11. Jantzen, J.C.: Einhüllende Algebren halbeinfacher Lie-Algebren. Springer (1983)

  12. Jantzen, J.C.: Representations of algebraic groups. Academic Press (1987)

  13. van der Kallen, W.: Longest weight vectors and excellent filtrations. Math. Z.201, 19–31 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  14. König, S.: A guide to exact Borel subalgebras of quasi-hereditary algebras. To appear in: Proceedings of ICRA VI (Ottawa, 1992)

  15. Parshall, B.: Hyperalgebras, highest weight categories and finite dimensional algebras. Contemp. Math.110, 203–215 (1990)

    MathSciNet  Google Scholar 

  16. Parshall, B., Scott, L.L.: Derived categories, quasi-hereditary algebras and algebraic groups. Proc. of the Ottawa-Moosonee Workshop in Algebra 1987, Math. Lect. Note Series, Carleton University and Université d'Ottawa (1988)

  17. Polo, P.: Variétés de Schubert et excellent filtrations. Astér. 173–174, 281–311 (1989)

  18. Scott, L.L.: Simulating algebraic geometry with algebra I: The algebraic theory of derived categories. AMS Proc. Symp. Pure Math.47, 271–281 (1987)

    Google Scholar 

  19. Scott, L.L.: Letter to König, S. (May 1992)

  20. Verma, D.-N.: Structure of certain induced representations of complex semisimple Lie algebras. Dissertation, Yale University (1966)

  21. Woodcock, D.: Borel Schur algebras. Preprint (1992)

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with an appendix by Leonard Scott

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König, S. Exact borel subalgebras of quasi-hereditary algebras, I. Math Z 220, 399–426 (1995). https://doi.org/10.1007/BF02572622

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