This paper studies quadratic and Koszul duality for modules over positively graded categories. Typical examples are modules over a path algebra, which is graded by the path length, of a not ...

SIAM Journal on Applied Mathematics, Vol. 44, No. 4 (Aug., 1984), pp. 773-783 (11 pages) The general form of the generating function associated with quadratic asymptotically symmetric birth and death ...