Discrete CATS Seminar
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U N I V E R S I T Y
O F
K E N T U C K Y

DISCRETE
CATS
SEMINAR

WHERE CATS =
COMBINATORICS,
ALGEBRA,
TOPOLOGY
&
STATISTICS!

845 PATTERSON OFFICE TOWER

2011 - 2012

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"The negative q-binomial"

Yue Cai

University of Kentucky

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Monday, April 9, 2012

4:00 pm

845 Patterson Office Tower

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Abstract:

The paper of Fu, Reiner, Stanton and Thiem concerns the
interpretation for the q-binomial coefficients evaluated at negative
integers -q. For a particular subset of permutations on {0^{n-k},
1^k}, one can regard a negative q-binomial as the generating function
for the number of inversions. We can also build a (q,t)-analogue of
the q-binomial at -q. An interpretation of negative q-binomials via
Ferrers diagrams is also given.