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Algebra, Geometry & Combinatorics: s-Catalan numbers and Littlewood-Richardson polynomials

Event Type
Seminar/Symposium
Sponsor
N/A
Location
347 Altgeld Hall
Date
Feb 24, 2022   3:00 pm  
Speaker
William Linz
Contact
Gidon Orelowitz
E-Mail
gidono2@illinois.edu
Phone
917-371-1855
Views
48

The s-Catalan numbers are a generalization of the well-known Catalan numbers that were recently introduced after they appeared in certain quantum physics problems. We give a combinatorial description of the s-Catalan numbers in terms of Littlewood-Richardson coefficients and explain some of the properties they exhibit in terms of Littlewood-Richardson polynomials. 

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