2026-09-22T05:10:41Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/82252022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Richard P. Stanley.
Joseph, Benjamin S., 1976-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-08-23T18:26:17Z
2005-08-23T18:26:17Z
2001
2001
http://hdl.handle.net/1721.1/8225
50147615
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
Includes bibliographical references (p. 65).
The criterion of h-positivity corresponds to the criterion that a polynomial representation of the general linear group of V is a sum of tensor products of symmetric powers of V. Expanding the iterated exponential function as a power series yields coefficients whose positivity implies the h-positivity of the characteristic of the symmetric group character whose value on the permutation w is the number of labeled forests with c(w) vertices, where c(w) is the number of cycles of w. Another example of an h-positive symmetric function is the characteristic of the top homology of the even-ranked subposet of the partition lattice. In this case, the positive coefficients of the characteristic refine the tangent number E₂nâ₁ into sums of powers of two.
by Benjamin S. Joseph.
Ph.D.
65 p.
3844151 bytes
3843908 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
The involution principle and h-positive symmetric functions
Thesis
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