TY - JOUR
T1 - A geometric interpretation of the intertwining number
AU - Can, Mahir Bilen
AU - Cherniavsky, Yonah
AU - Rubey, Martin
N1 - Publisher Copyright:
© The authors.
PY - 2019
Y1 - 2019
N2 - We exhibit a connection between two statistics on set partitions, the intertwining number and the depth-index. In particular, results link the intertwining number to the algebraic geometry of Borel orbits. Furthermore, by studying the generating polynomials of our statistics, we determine the q = −1 specialization of a q-analogue of the Bell numbers. Finally, by using Renner’s H-polynomial of an algebraic monoid, we introduce and study a t-analog of q-Stirling numbers.
AB - We exhibit a connection between two statistics on set partitions, the intertwining number and the depth-index. In particular, results link the intertwining number to the algebraic geometry of Borel orbits. Furthermore, by studying the generating polynomials of our statistics, we determine the q = −1 specialization of a q-analogue of the Bell numbers. Finally, by using Renner’s H-polynomial of an algebraic monoid, we introduce and study a t-analog of q-Stirling numbers.
UR - http://www.scopus.com/inward/record.url?scp=85065882350&partnerID=8YFLogxK
U2 - 10.37236/7986
DO - 10.37236/7986
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AN - SCOPUS:85065882350
SN - 1077-8926
VL - 26
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
IS - 2
M1 - #P2.7
ER -