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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Generalized exponents via Hall-Littlewood symmetric functions

Author(s): R. K. Gupta
Journal: Bull. Amer. Math. Soc. 16 (1987), 287-291.
MSC (1985): Primary 22E46, 17B10, 05A15; Secondary 05A17
MathSciNet review: 876966
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References:

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[Gl] R. K. Gupta, Characters and the q-analog of weight multiplicity, I.H.E.S. preprint M/86/6 (submitted for publication). MR 897675

[G2] R. K. Gupta, Stability of polynomial powers of gl (in preparation).

[Hn] P. Hanlon, On the decomposition of the tensor algebra of the classical Lie algebras, Adv. in Math. 56 (1985), 238-282. MR 792707

[Hs] W. H. Hesselink, Characters of the nullcone, Math. Ann. 252 (1980), 179-182. MR 593631

[Ka] S. Kato, Spherical functions and a q-analogue of Kostant's weight multiplicity formula, Invent. Math. 66 (1982), 461-468. MR 662602

[K] B. Kostant, Lie group representations on polynomial rings, Amer. J. Math. 85 (1963), 327-404. MR 158024

[L] G. Lusztig, Singularities, character formulas, and a q-analog of weight multiplicities, Analyse et Topologie sur les Espaces Singuliers (II-III), Astérisque 101-102 (1983), 208-227. MR 737932

[M] I. G. Macdonald, Symmetrie functions and Hall polynomials, Clarendon Press, Oxford, 1979. MR 553598

[S] R. Stanley, The stable behavior of some characters of SL(n, C), Linear and Multilinear Algebra 16 (1984), 3-27. MR 768993


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Additional Information:

DOI: 10.1090/S0273-0979-1987-15519-4
PII: S 0273-0979(1987)15519-4


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