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On the Smith normal form of a skew-symmetric D-optimal design of order $n equiv 2$ (mod 4) (Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras)

On the Smith normal form of a skew-symmetric D-optimal design of order $n equiv 2$ (mod 4) (Research on algebraic combinatorics and representation theory of finite groups and vertex operator algebras)
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Symmetric and Anti Symmetric Kronecker Squares and Intertwining Numbers of Induced Representations of Finite Groups

American Journal of Mathematics, 1953
George W Mackey
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On the representation theory of wreath products of finite groups and symmetric groups

Journal of Mathematical Sciences, 1999
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Group and representation theory of finite groups and its application to field computation problems with symmetrical boundaries

1981 Antennas and Propagation Society International Symposium, 2005
Using well known facts about group and representation theory, we show that field computations can be considerably reduced. In the case where the geometry exhibits some sort of symmetry, one can achieve faster processing and needs less memory by a factor of two or even more.
C. Hafner, P. Leuchtmann
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Application of the representation theory of finite groups to field computation problems with symmetrical boundaries

IEEE Transactions on Magnetics, 1982
Field computation problems with symmetrical boundaries often give difficulties like degenerate solutions [4] or singular matrices [6]. By considering all symmetry properties one can avoid these difficulties and at the same time strongly reduce the amount of computation and the storage requirement. A mathematical description of symmetries is introduced,
R. Ballisti, Ch. Hafner, P. Leuchtmann
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Matrix representations of the symmetric group in finite fields.

1954
The purpose of the following sections will be to determine the distribution into p-blocks of the ordinary absolutely irreducible representations of the symmetric group of degree n. This group will be denoted by Sn. A matrix representation R, of degree f, over a field F, of a group G, is a homomorphic mapping of the elements of G onto a set of square ...
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The finite basis property for some classes of irreducible representations of symmetric groups

Sbornik: Mathematics, 2003
Summary: The possibility of defining irreducible representations of symmetric groups by means of finitely many relations is studied. The existence of finite bases is established for the classes of representations corresponding to two-part partitions and to partitions in the fundamental alcove.
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How to recover a continuous function on a hermitian symmetric simple lie group using finite-dimensional representations and pseudorepresentations

Russian Journal of Mathematical Physics, 2013
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Symmetric functions and Springer representations

Indagationes Mathematicae, 2022
Syu Kato
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Representations of concrete finite groups. III: The symmetric groups

1995
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