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The representation theory of the finite Hecke algebra
Student-Run Discrete Math SeminarSpeaker: | Chris Berg, UC Davis |
Location: | 2112 MSB |
Start time: | Thu, Oct 11 2007, 3:10PM |
The Hecke algebra $H_n(q)$ is a deformation of the symmetric group $S_n$. When $q$ is generic the irreducible representations of $H_n(q)$ are indexed by partitions. We introduce a combinatoric which determines whether these representations are still irreducible when we specialize $q$ to a root of unity.