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References
I.J. DAVIES: "Enumeration of certain subgroups of Abelian p-groups", Proc. Edinburgh Math. Soc. (2), 13 (1962) 1–4.
J.A. GREEN: "The characters of the finite general linear groups", Trans. American Math. Soc. 80 (1955) 402–447.
_____ "Les polynomes de Hall et les caracteres des groupes GL (n,q)", Colloque d'algebre superieure (Brussels 1956) 207–215.
_____ "Symmetric functions and p-modules (lecture notes, Manchester 1962).
P. HALL: "The algebra of partitions", Proc. 4th Canadian Math. Congress, Banff (1957), (1959), 147–159.
G.D. JAMES: "A characteristic-free approach to the representation theory of Sn" (to appear).
T. KLEIN: "The multiplication of Schur functions and extensions of p-modules". J. London Math. Soc. 43 (1968) 280–284.
_____ "The Hall Polynomial", J. of Algebra 12 (1969), 61–78.
T. KONDO "On Gaussian sums attached to the general linear groups over finite fields", J. Math. Soc. Japan 15 (1963), 244–255.
D.E. LITTLEWOOD: "The theory of group characters and matrix representations of groups", (Oxford, 1950).
_____ "On certain symmetric functions", Proc. London Math. Soc. (3) 11 (1961), 485–498.
D.E. LITTLEWOOD and A.R. RICHARDSON: "Group characters and algebra", Phil. Trans. Roy. Soc. A. 233, (1934), 99–141.
I.G. MACDONALD: "Spherical functions in a group of p-adic type" Publications of the Ramanujan Institute No. 2.
_____ "Hall polynomials", Lecture notes (Warwick 1973).
A.O. MORRIS: "The spin representation of the symmetric group", Proc. London Math. Soc. (3) 12 (1962), 55–76.
_____ "On Q-functions", J. London Math. Soc. 37 (1962), 445–455.
_____ "The characters of the group GL (n, q)", Math. Zeits. 81 (1963), 112–123.
_____ "The multiplication of Hall functions", Proc. London Math. Soc. (3) 13 (1963), 733–742.
_____ "A note on the multiplication of Hall functions," J. London Math. Soc. 39 (1964), 481–488.
_____ "A note on symmetric functions", American Math. Monthly 71 (1964), 50–53.
_____ "On an algebra of symmetric functions", Quart. J. Math. Oxford (2), 16 (1965), 53–64.
_____ "A note on lemmas of Green and Kondo", Proc. Camb. Phil. Soc. 63 (1967), 83–85.
F.D. MURNAGHAN: "The theory of group representations", (Baltimore, 1938).
J.B. OLSSON: "On the blocks of GL(n,q),I", Trans. Amer. Math. Soc. (to appear).
_____"On the blocks of GL(n,q),II" (Preprint).
O. PERRON: "Über Potenzsummen", Math. Zeits 64 (1956), 103–114.
G. de B. ROBINSON: "Representation theory of the symmetric group". (Edinburgh 1961).
I. SCHUR: "Über die Darstellung der symmetrischen und der alternierden Gruppe durch gebrochene lineare Substitutionen", J. Reine Angew Math. 139 (1911), 155–250.
R.P. STANLEY: "Theory and Applications of Plane Partitions, Part I", Studies in Applied Mathematics 1 (1971), 167–188.
G.P. THOMAS: "Combinatorial proof of the Littlewood-Richardson rule", (to appear).
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Morris, A.O. (1977). A survey on Hall-Littlewood functions and their applications to representation theory. In: Foata, D. (eds) Combinatoire et Représentation du Groupe Symétrique. Lecture Notes in Mathematics, vol 579. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090015
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DOI: https://doi.org/10.1007/BFb0090015
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