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Full Description
The essays in this volume pay tribute to Gian-Carlo Rota on the occasion of his 64th birthday. The breadth and depth of Rota's interests, research and influence are reflected in such areas as: combinatorics, invariant theory, geometry, algebraic topology, and representation theory.
Contents
Rotafest prgramme; MacMahon's partition analysis - I the lecture hall partition theorem, George E.Andrews; the cd-index of zonotypes and arrangements, Louis J. Billera, Richard Ehrenbor and margar Readdy; letter-place methods and homotopy, David A. Buchsbaum; classification of trivectors in 6-D space, Wendy Chan; parameter augmentation for basic hypergeometric series I, William Y.C. Chen and Zhi-Guo Liu; unities and negation, Henry crapo and Claude le conte de Poly-Barbut; the would-be meth of targeted rings, ottavio M. D'Antona; lattice walks and primary decomposition, Persi diaconis, Dav Eisenbud and Bernd Sturmfels; natural exponential families and umbral calculus, A. di Bucchianico a D.E. Loeb; umbral calculus in hilbert space, A.di Bucchianico, D.E. Loeb and Gian-Carlo Rota; a strategy for determining polynomial orthogonality, J.M. Freeman; plethystic formulas and positivity q,t-kosta coefficinets, A.M. Garsia and J. Remmel; an alternative evaluation of the Andrews-Burge determinant, C. Krattenthaler; the number of points in a combinatorial geometry with no 8-point-line minors, Joseph E. Bonin and Joseph P.S. Kung; umbral shifts and symmetric functions of schur type, Miguel A. Mendez; an axiomization for cubic algebras, Colin Bailey and Joseph Oliveira; an elementar proof of Roichman's rule for irreducible characters of Iwahori-Hecke algebras of type A, Arun Ram; universal constructions in umbral calculus, Nigel Ray; hyperplane arrangements, parking functions an tree inversions, Richard P. Stanley; more orthogonal polynomials as moments, Mourad E.H. Ismail and Dennis Stanton; more orthogonal ploynomials as moments, Mourad E.H. Ismail and Dennis Stanton; difference equations via the classical umbral calculus, Brian D. Taylor; an analogy in geometric homology - rigidity and cofactors on geometric graphs, Walter Whiteley; the umbral calculus and identities for hypergeometric functions with special arguments, Jet Wimp; apologies to T.S. Eliot - rota nerds, J.S. Yang.
