"Discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups"--
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Traces the four-thousand-year-old mathematical effort to discover and define the laws of symmetry, citing the achievements of doomed geniuses Niels Henrick Abel and Evariste Galois to solve the quintic equation and give birth to group theory.
Traces the four-thousand-year-old mathematical effort to discover and define the laws of symmetry, citing the achievements of doomed geniuses Niels Henrick Abel and Evariste Galois to solve the quintic equation and give birth to group theory.
This work presents foundational research on two approaches to studying subgroup lattices of finite abelian [italic]p-groups. The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices. This approach yields a combinatorial interpretation o…