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CANONICAL CHARACTERS ON QUASI-SYMMETRIC FUNCTIONS AND BIVARIATE CATALAN NUMBERS
Hopf algebra character quasi-symmetric function central binomial coefficient
2015/8/14
Every character on a graded connected Hopf algebra decomposes uniquely as
a product of an even character and an odd character [2]. We obtain explicit formulas for
the even and odd parts of the unive...
Characteristic classes of Hilbert schemes of points via symmetric products
Hilbert scheme symmetric product generating series power structure Pontrjagin ring motivic exponentiation characteristic classes
2012/4/18
We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of points for a smooth quas...
The hyperdeterminant of a symmetric tensor
hyperdeterminant symmetric tensor Algebraic Geometry
2011/9/19
Abstract: The hyperdeterminant of a symmetric tensor factors into several irreducible factors with multiplicities. Using geometric techniques these factors are identified along with their degrees and ...