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Graduate Algebra and Representation Theory Seminar

Non-commutative symmetric functions

Robert Laugwitz, Rutgers University

Location:  Hill 525
Date & time: Monday, 30 October 2017 at 1:00PM - 2:00PM

Abstract: This will be an accessible introductory talk on the theory of quasi-determinants of Gelfand--Retakh and how they can be used to define analogue of symmetric functions over free non-commutative skew-fields. In particular, there are many different bases for the Hopf algebra of non-commutative symmetric functions giving analogues to the classical bases of elementary symmetric functions, complete homogeneous functions, power sums, or Schur functions.


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