Transition equations for isotropic flag manifolds

Discrete Mathematics

Volumn 193, Issue 1-3, 1998, Pages 69-84

  Billey, Sara ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042285068     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(98)00135-6     Document Type: Article

References (24)

1. I. Bernstein, I. Gelfand, S. Gelfand, Schubert cells and cohomology of the spaces G/P, Russian Math. Surveys 28 (1973) 1-26.
2. S. Billey, M. Haiman, Schubert polynomials for the classical groups, J. Amer. Math. Soc. 8 (1995) 443-482.
3. N. Bourbaki, Groups et Algebres de Lie, Masson, 1957.
4. C. Chevalley, Sur les Décompositions Cellulaires des Espaces G/B, Proc. Sympos. in Pure Math. 56 (1994).
5. M. Demazure, Désingularization des Variétés de Schubert Généralisées, Ann. Sc. E.N.S. 4 (1974) 53-58.
6. P. Edelman, C. Greene, Balanced Tableaux, Adv. Math. 63 (1987) 42-99.
7. S. Fomin, A.N. Kirillov, Yang-Baxter Equation, Symmetric functions, and Schubert polynomials, Proc. Conf. on Power Series and Algebraic Combinatorics, Firenze, (1993).
8. n analogues of Schubert polynomials, Trans. of AMS 348 (1996) 3591-3620.
9. n, Adv. Math. 62 (1986) 49-67.
10. J.E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge Univ. Press, Cambridge, 1990.
11. W. Kraśkiewicz, Reduced decompositions in hyperoctahedral group, C.R. Acad. Sci. Paris, Ser. I, 309 (1989) 903-904.
12. T. Lam, B and D analogues of stable Schubert polynomials and related insertion algorithms, Ph.D. Thesis, MIT Press, Cambridge, MA, 1994.
13. n Stanley symmetric functions, Discrete Math. 157 (1996) 241-270.
14. A. Lascoux, M.-P. Schutzenberger, Polynomes de Schubert, C.R. Acad. Sci. Paris 294 (1982) 447-450.
15. I. Macdonald, Notes on Root Systems, Manuscript from UCSD, Winter quarter 1991.
16. I. Macdonald, Notes on Schubert Polynomials, vol. 6, Publications du LACIM, Université du Québec à Montréal, 1991.
17. D. Monk, The geometry of flag manifolds, Proc. London Math. Soc. 3 (1959) 253-286.
18. P. Pragacz, Algebro-Geometric applications of Schur S- and Q-polynomials, Vol. 1478, ch. 3, Lecture Notes in Mathematics, Springer, Berlin, 1991, pp. 130-191.
19. P. Pragacz, J. Ratajski, Pieri type formulas for isotropic Grassmannians; the operator approach, Manuscripta Math. 79 (1993) 127-151.
20. P. Pragacz, J. Ratajski, A Pieri-type theorem for Lagrangian and odd orthogonal Grassmannians, preprint MPI/94-15 (1994); J. Reine Angew. Math. 476 (1996) 143-189.
21. P. Pragacz, J. Ratajski, A Pieri-type theorem for Lagrangian and odd orthogonal Grassmannians, preprint MPI/94-15 (1994); J. Reine Angew. Math. 476 (1996) 143-189.
22. B.E. Sagan, Shifted tableaux, Schur Q-functions, and a conjecture of R. Stanley, J. Combin. Theory A 45 (1987) 62-103.
23. J. Stembridge, Some combinatorial aspects of reduced words in finite coxeter groups, Transaction of AMS 349 (1997) 1285-1332.
24. D.R. Worley, A theory of shifted Young tableaux, Ph.D. thesis, MIT Press, 1984.