Hall-Littlewood polynomial: Difference between revisions

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{{subpages}}
In [[mathematics]], the '''Hall–Littlewood polynomials''' encode combinatorial data relating to the [[Group representation|representation]]s of the [[general linear group]].  They are named for [[Philip Hall]] and [[Dudley E. Littlewood]].
In [[mathematics]], the '''Hall–Littlewood polynomials''' encode combinatorial data relating to the [[Group representation|representation]]s of the [[general linear group]].  They are named for [[Philip Hall]] and [[Dudley E. Littlewood]].


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* {{cite book | author=I.G. Macdonald | authorlink=Ian G. Macdonald | title=Symmetric Functions and Hall Polynomials | publisher=Oxford University Press | pages=101-104 | year=1979 | isbn=0-19-853530-9 }}
* {{cite book | author=I.G. Macdonald | authorlink=Ian G. Macdonald | title=Symmetric Functions and Hall Polynomials | publisher=Oxford University Press | pages=101-104 | year=1979 | isbn=0-19-853530-9 }}
* {{cite journal | author=D.E. Littlewood | title=On certain symmetric functions | journal=Proc. London Math. Soc. | volume=43 | year=1961 | pages=485-498 }}
* {{cite journal | author=D.E. Littlewood | title=On certain symmetric functions | journal=Proc. London Math. Soc. | volume=43 | year=1961 | pages=485-498 }}
==External links==
*{{MathWorld |title=Hall-Littlewood Polynomial |urlname=Hall-LittlewoodPolynomial}}
[[Category:Polynomials]]
[[Category:Combinatorics]]
{{math-stub}}

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In mathematics, the Hall–Littlewood polynomials encode combinatorial data relating to the representations of the general linear group. They are named for Philip Hall and Dudley E. Littlewood.

See also

References

  • I.G. Macdonald (1979). Symmetric Functions and Hall Polynomials. Oxford University Press, 101-104. ISBN 0-19-853530-9. 
  • D.E. Littlewood (1961). "On certain symmetric functions". Proc. London Math. Soc. 43: 485-498.