Book Review: Symmetric and $G$-algebras \RM (with applications to group representations\RM )

A review on symmetric games: theory, comparison and applications

Game theory models decision makers' behaviors in strategic situations. Since the structures of games are different, behavior and preferences of the players are different in various types of game. This paper reviews various situations of games. Here, characteristics of some common games are discussed and compared. Specifically, we focus on a group of games called symmetric games including Prison...

Symmetric Brace Algebras with Applications to Particles of High Spin

We develop a symmetric analog of brace algebras and discuss the relation of such algebras to L∞-algebras. We then explain how these symmetric brace algebras may be used to examine the L∞-algebras that result from a particular gauge theory for massless particles of high spin.

Symmetric Heyting relation algebras with applications to hypergraphs

A relation on a hypergraph is a binary relation on the set consisting of all the nodes and the edges, and which satisfies a constraint involving the incidence structure of the hypergraph. These relations correspond to join preserving mappings on the lattice of sub-hypergraphs. This paper introduces a generalization of a relation algebra in which the Boolean algebra part is replaced by a Heyting...

The symmetric group and Brauer algebras

Hecke Algebras and Schur Algebras of the Symmetric Group

These notes give a fully self{contained introduction to the (modular) representation theory of the Iwahori{Hecke algebras and the q{Schur algebras of the symmetric groups. The central aim of this work is to give a concise, but complete, and an elegant, yet quick, treatment of the classiication of the simple modules and of the blocks of these two important classes of algebras. Our approach is co...