| Autor: |
C. Kenneth Fan |
| Předmět: |
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| Zdroj: |
Journal of the American Mathematical Society; 1/1/1997, Vol. 10 Issue 1, p139-167, 29p |
| Abstrakt: |
Let $W$ be a Coxeter group with Coxeter graph $\graph$. Let $\cal H$ be the associated Hecke algebra. We define a certain ideal ${\cal I}$ in $\cal H$ and study the quotient algebra $\quotient = {\cal H}/{\cal I}$. We show that when $\graph$ is one of the infinite series of graphs of type $E$, the quotient is semi-simple. We examine the cell structures of these algebras and construct their irreducible representations. We discuss the case where $\graph$ is of type $B$, $F$, or $H$. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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