Department of Mathematics

Seminar in Cluster algebras

  •  Vladimir Retakh, Rutgers
  •  Noncommutative Catalan numbers
  •  04/11/2017
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall

As part of or program on noncommutative laurent phenomenon, we introduce and study noncommutative Catalan 'numbers' as Laurent polynomials in infinitely many free variables and related theory of noncommutative binomial coefficients. We also study their (commutative and noncommutative) specializations, relate them with Garsia-Haiman (q,t)-versions, and establish total positivity of the corresponding Hankel matrices. Joint work with Arkady Berenstein (Univ. of Oregon).



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science