PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.

Title:A combinatorial formula for certain Hecke algebra characters
Seminar:Combinatorics/Partitions Seminar
Speaker:Sam Clearman, Lehigh
Abstract:
The Hecke-Iwahori algebra $H_n(q)$ is a quantum of the symmetric group algebra. We conjecture a combinatorial interpretation of the induced trivial character $\eta^\lambda_q$ on certain $H_n(q)$ elements. In particular, we conjecture that these polynomials are the generating functions of the path tableaux of specified planar networks under an appropriate statistic. We discuss connections to chromatic polynomials and totally nonnegative matrices.

Room Reservation Information

Room Number:MB106
Date:12 / 04 / 2012
Time:11:15am - 12:05pm