Canonical bases and self-evacuating tableaux

Duke Mathematical Journal

Volumn 82, Issue 3, 1996, Pages 585-606

  Stembridge, John R ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039176491     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-96-08224-1     Document Type: Article

References (23)

1. [BZ] A. BERENSTEIN AND A. ZELEVINSKY, Canonical bases for quantum groups of type A, and piecewise-linear combinatorics, Duke Math. J. 82 (1996), 473-502.
2. [B] N. BOURBAKI, Lie Groups and Lie Algebras, Springer-Verlag, Berlin-New York, 1989, Chapters 1-3.
3. C. CARRÉ AND B. LECLERC, Splitting the square of a Schur function into its symmetric and antisymmetric parts, J. Algebraic Combin. 4 (1995), 201-231.
4. [G] E. R. GANSNER, On the equality of two plane partition correspondences, Discrete Math. 30 (1980), 121-132.
5. n, Adv. Math. 69 (1988), 32-92.
6. [Gr] J. GRAHAM, Modular representations of Hecke algebras and related algebras, Ph. D. thesis, University of Sydney, 1995.
7. n, Contemp. Math. 139 (1992), 167-174.
8. [H] J. E. HUMPHREYS, Introduction to Lie Algebras and Representation Theory, Graduate Texts in Math. 9, Springer-Verlag, Berlin, 1972.
9. [JK] G. D. JAMES AND A. KERBER, The Representation Theory of the Symmetric Group, Addison-Wesley, Reading, MA, 1981.
10. [Ka] V. G. KAC, Infinite Dimensional Lie Algebras, Cambridge University Press, Cambridge, 1990.
11. [KL] D. KAZHDAN AND G. LUSZTIG, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184.
12. [KLLT] A. N. KIRILLOV, A. LASCOUX, B. LECLERC, AND J.-Y. THIBON, Séries génératrices pour les tableaux de dominos, C. R. Acad. Sci. Paris, Ser. I Math. 318 (1994), 395-400.
13. [K] D. E. KNUTH, The Art of Computer Programming, Vol. 3, 2nd ed., Addison-Wesley, Reading, MA, 1973.
14. [Ko] B. KOSTANT, On Macdonald's η-function formula, the Laplacian, and generalized exponents, Adv. Math. 20 (1976), 179-212.
15. [Ku] G. KUPERBERG, Self-complementary plane partitions by Proctor's minuscule method, European J. Combin. 15 (1994), 545-553.
16. G. LUSZTIG, Canonical bases arising from quantized enveloping algebras. II, Progr. Theoret. Phys. Suppl. 102 (1991), 175-201.
17. I. G. MACDONALD, Symmetric Functions and Hall Polynomials, Oxford University Press, Oxford, 1979.
18. [Mth] A. MATHAS, On the left-cell representations of Iwahori-Hecke algebras of finite Coxeter groups, preprint.
19. [Sh] J. Y. SHI, The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups, Lecture Notes in Math. 1179, Springer-Verlag, Berlin, 1986.
20. [St] R. P. STANLEY, Symmetries of plane partitions, J. Combin. Theory Ser. A 43 (1986), 103-113.
21. [SW] D. W. STANTON AND D. E. WHITE, A Schensted algorithm for rim hook tableaux, J. Combin. Theory Ser. A 40 (1985), 211-247.
22. [Ste] J. R. STEMBRIDGE, On minuscule representations, plane partitions, and involutions in complex Lie groups, Duke Math. J. 73 (1994), 469-490.
23. [vL] M. A. A. VAN LEEUWEN, The Robinson-Schensted and Schützenberger Algorithms Part I: New Combinatorial Proofs, CWI Technical Report AM-R9208, 1992.