Discrete Math Seminar: Mike Zabrocki
Topic
Schur analogues in non-commutative symmetric functions
Speakers
Details
The non-commutative symmetric functions and quasi-symmetric functions are the second and third examples of a combinatorial Hopf algebra that one encounters (the first being the symmetric functions). In recent years there have been at least two bases proposed as an analogues of the Schur functions and they are in addition to the "ribbon=funadmantal^*" basis. I'll list properties that we would want these bases to have as analogues of the Schur functions and then explain some computational results that tell us what is possible (surprisingly, it is not possible to have it all!). I will also discuss some symmetric function positivity open problems that we hope these bases will resolve.
This is joint work with Laura Colmenarejo.
This is joint work with Laura Colmenarejo.
Additional Information
Location: ESB 4133
Mike Zabrocki, York University
Mike Zabrocki, York University
This is a Past Event
Event Type
Scientific, Seminar
Date
February 25, 2014
Time
-
Location