Abstract
We consider the Kazhdan–Lusztig R-polynomials, Ru, v(q) indexed by permutations “u, v” having particular forms. More precisely, we show that Re, 34…n12(q) (where “e” denotes the identity permutation) equals, aside from a simple change of variable, a q-analogue of the Fibonacci number, and if two permutations are obtained one from the other by applying two transpositions (one simple, and one not), then the corresponding R-polynomial factors nicely. Our proofs are combinatorial.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
