-GRAPHS AND GYOJA’S -GRAPH ALGEBRA
-GRAPHS AND GYOJA’S -GRAPH ALGEBRA
Let $(W,S)$ be a finite Coxeter group. Kazhdan and Lusztig introduced the concept of $W$-graphs and Gyoja proved that every irreducible representation of the Iwahori-Hecke algebra $H(W,S)$ can be realized as a $W$-graph. Gyoja defined an auxiliary algebra for this purpose which -- to the author's best knowledge -- was …