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Lie Group Quantum Mathematics Seminar

Noncommutative Shifted Symmetric functions

Robert Laugwitz, Rutgers University

Location:  Hill 705
Date & time: Friday, 28 September 2018 at 12:00PM - 1:00PM

  • Abstract This is joint work with Vladimir Retakh.
  • The theory of quasi-determinants has been used to construct a ring of noncommutative symmetric functions in the 1990s. We use a similar approach to define a ring non noncommutative emph{shifted} symmetric function. This gives a deformation of the ring of noncommutative symmetric functions in a similar way as shifted symmetric functions (in the approach of Okonkov--Olshanski) give a deformation of the ring of symmetric functions. We can provide analogues of a couple of classical formulas in this setup.

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