**Problem of the Week**

**BUGCAT**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

**BingAWM**

**Math Club**

**Actuarial Association**

You are here: Homepage » Seminars - Academic year 2023-24 » Combinatorics Seminar » Justin Lambright (Lehigh)

seminars:comb:abstract.200911lam

A Hopf algebra called the quantum coordinate ring of SL(n,C) is often studied in terms of a related noncommutative ring called the quantum polynomial ring in n^{2} variables. Various bases of these rings and their representation-theoretic applications lead to the study of transition matrices whose entries are commutative polynomials having nonnegative integer coefficients. Examples of such polynomials include Brenti's modified R-polynomials. I generalize Brenti's work to give combinatorial interpretations for coefficients in a larger class of transition matrices. As an application, I simplify somewhat the previous formulation of the dual canonical basis of the quantum polynomial ring.

seminars/comb/abstract.200911lam.txt · Last modified: 2020/01/29 14:03 (external edit)

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial-Share Alike 3.0 Unported