Literature Cited
C. Curtis and I. Rainer The Theory of Representations of Finite Groups and Associative Algebras [Russian translation], Nauka, Moscow (1969).
G. James, The Theory of Representations of Symmetric Groups [Russian translation] Mir, Moscow (1982).
G. James, “The irreducible representations of symmetric groups,” Bull. London Math. Soc.,8, 229–232 (1976).
G. James, “Representations of symmetric groups over a field of order 2,” J. Algebra,38, No. 2, 280–308 (1976).
G. James, “On the decomposition matrices of symmetric groups, I,” J. Algebra,43, No. 1, 42–44 (1976).
G. James, “Some counterexamples in the theory of Specht modules,” J. Algebra,46, No. 2, 457–461 (1977).
M. Peel, “Specht modules and symmetric groups,” J. Algebra,36, No. 1, 88–97 (1975).
G. Murphy, “On the decomposibility of some Specht modules for symmetric groups,” J. Algebra,66, No. 1, 156–168 (1980).
M. Peel, “Hook representations of symmetric groups,” Glasgow Math. J., No. 12, 136–149 (1971).
G. James, “The module orthogonal to the Specht module,” J. Algebra,46, No. 2, 451–456 (1977).
G. Robinson, Representation Theory of Symmetric Groups, University Press, Edinburgh (1961).
É. Berlecamp, The Algebraic Theory of Coding [Russian translation], Mir, Moscow (1971).
J. Lambek, Lectures in Rings and Modules, Chelsea Publ. (1976).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 23, No. 2, pp. 186–204, March–April, 1984.
Rights and permissions
About this article
Cite this article
Sukhov, Y.Y. Problem of modular representations of symmetric groups. Sib Math J 25, 317–331 (1984). https://doi.org/10.1007/BF00971470
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971470