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On minuscule representations, plane partitions and involutions in complex Lie groups
John R. Stembridge
Source: Duke Math. J. Volume 73, Number 2
(1994), 469-490.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077288819
Mathematical Reviews number (MathSciNet): MR1262215
Zentralblatt MATH identifier: 0805.22006
Digital Object Identifier: doi:10.1215/S0012-7094-94-07320-1
References
[B] N. Bourbaki, Groupes et Algèbres de Lie, Chap. IV–VI, Masson, Paris, 1981.
Mathematical Reviews (MathSciNet): MR647314
[H1] J. E. Humphreys, Introduction to Lie Algebras and Representation Theory, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet): MR48:2197
Zentralblatt MATH: 0254.17004
[H2] J. E. Humphreys, Linear Algebraic Groups, Springer-Verlag, Berlin, 1975.
Mathematical Reviews (MathSciNet): MR53:633
Zentralblatt MATH: 0325.20039
[K] B. Kostant, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math. 81 (1959), 973–1032.
Mathematical Reviews (MathSciNet): MR22:5693
Zentralblatt MATH: 0099.25603
Digital Object Identifier: doi:10.2307/2372999
JSTOR: links.jstor.org
[Ku] G. Kuperberg, Self-complementary plane partitions by Proctor's method, preprint.
[M] I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford University Press, Oxford, 1979.
Mathematical Reviews (MathSciNet): MR84g:05003
Zentralblatt MATH: 0487.20007
[MRR] W. H. Mills, D. P. Robbins, and H. Rumsey, Self-complementary totally symmetric plane partitions, J. Combin. Theory Ser. A 42 (1986), no. 2, 277–292.
Mathematical Reviews (MathSciNet): MR88b:05008
Zentralblatt MATH: 0615.05011
Digital Object Identifier: doi:10.1016/0097-3165(86)90098-1
[P] R. A. Proctor, Bruhat lattices, plane partition generating functions, and minuscule representations, European J. Combin. 5 (1984), no. 4, 331–350.
Mathematical Reviews (MathSciNet): MR86h:17007
Zentralblatt MATH: 0562.05003
[S] C. S. Seshadri, Geometry of $G/P$—I. Theory of standard monomials for minuscule representations, C. P. Ramanujam—A Tribute, Tata Inst. Fund. Res. Studies in Math., vol. 8, Springer-Verlag, Berlin, 1978, pp. 207–239.
Mathematical Reviews (MathSciNet): MR81g:14023a
Zentralblatt MATH: 0447.14010
[St1] R. P. Stanley, Enumerative Combinatorics, Vol. I, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth and Brooks/Cole, Monterey, California, 1986.
Mathematical Reviews (MathSciNet): MR87j:05003
Zentralblatt MATH: 0608.05001
[St2] R. P. Stanley, Symmetries of plane partitions, J. Combin. Theory Ser. A 43 (1986), no. 1, 103–113.
Mathematical Reviews (MathSciNet): MR87m:05017a
Zentralblatt MATH: 0602.05007
Digital Object Identifier: doi:10.1016/0097-3165(86)90028-2
[Ste1] J. R. Stembridge, Some hidden relations involving the ten symmetry classes of plane partitions, to appear in J. Combin. Theory Ser. A.
Mathematical Reviews (MathSciNet): MR1297179
Zentralblatt MATH: 0809.05007
Digital Object Identifier: doi:10.1016/0097-3165(94)90112-0
[Ste2] J. R. Stembridge, A Maple package for root systems and finite Coxeter groups, 1992, unpublished technical report.
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