Abstract Let $$\mathcal S$$ S be a single condition Schubert variety with an arbitrary number of strata. Recently, explicit description the summands involved in decomposition theorem applied to such has been obtained paper second author. Starting from this result, we provide Poincaré polynomial intersection c...

q-Analogues of the coefficients of x in the expansion of ∏N j=1(1 + x + · · · + x )j are proposed. Useful properties, such as recursion relations, symmetries and limiting theorems of the “q-supernomial coefficients” are derived, and a combinatorial interpretation using generalized Durfee dissection partitions is given. Polynomial identities of boson–fermion-type, based on the continued fraction...