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Combinatorial properties of rational representations of the group \(\text{GL}(n,\mathbb{C})\). (English. Russian original) Zbl 0836.20062

J. Math. Sci., New York 77, No. 3, 3190-3194 (1995); translation from Zap. Nauchn. Semin. POMI 200, 83-90 (1992).
See the review in Zbl 0797.20034.

MSC:

20G05 Representation theory for linear algebraic groups
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
05E15 Combinatorial aspects of groups and algebras (MSC2010)

Citations:

Zbl 0797.20034
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References:

[1] D. E. Knuth,The Art of Computer Programming, Vol. 3, Addison-Wesley, London (1973). · Zbl 0191.17903
[2] J. R. Stembridge, ”Rational tableaux and the tensor algebra ofgl n ”,J. Comb. Theory (A),46, 79–120 (1987). · Zbl 0626.20030
[3] H. Weyl,The Classical Groups, Princeton, New Jersey (1946). · Zbl 1024.20502
[4] R. P. Stanley, ”Theory and applications of plain partitions”,Stud. Appl. Math.,50, 167–188 (1971). · Zbl 0225.05011
[5] I. G. Macdonald,Symmetric Functions and Hall Polynomials, Oxford University Press (1979). · Zbl 0487.20007
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