Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 9 of 9 for “"Hilbert series."”.
-
Maximal Hilbert series of quadratic-relator algebras
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1992.
-
Combinatorial Properties of the Hilbert Series of Macdonald Polynomials
… in H̃<sub>μ</sub> and also the Hilbert series of the Garsia-Haiman module M<sub>μ</sub>. Haglund found a combinatorial formula expressing F̃<sub>μ</sub> as a sum of n! objects weighted by two statistics. Using this formula we prove a q,t-analogue of the hook-length formula for …
-
On quasi-dominant weights and Hilbert series of determinantal varieties.
… Since these rings are Cohen-Macaulay, their Hilbert series are rational functions whose numerator polynomials have nonnegative integer coefficients. In the case of general determinantal varieties, as well as in the case of symmetric determinantal varieties, these numerator polynomials were …
-
ALGEBRA GENERATORS AND HILBERT SERIES OF Z(K_{-1}[X_1, ..., X_n]^{S_n})
… we determine the algebra generators and the Hilbert series of the center of $R^{S_n}$, denoted $Z(R^{S_n})$. Moreover, we determine an algorithm for determining the ideal of relations on the generators.
-
Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua
… is a limit of the fugacities that gives the Hilbert series of the target space, and often there is another limit of the parameters that produces the Poincaré polynomial for $\mathbb C^\times$-equivariant Borel-Moore homology of the space. A natural class of hyperKähler cones are Nakajima …
-
Growth of algebras, words, and graphs
… of the periodicities of overlap graphs and Hilbert series coefficients.
-
Geometric aspects of three dimensional N = 4 gauge theories
… a relationship between the twisted index and the Hilbert series of a 3d N = 4 theory. We then use factorisation to provide a novel geometric expression for the Coulomb branch Hilbert series in terms of invariants of moduli spaces of quasimaps to the Higgs branch. Finally, we apply these ideas to a …
-
Properties of the Toric Rings of a Chordal Bipartite Family of Graphs
… for each ring and explicitly determine the Hilbert series for the resulting Artinian reduction. As corollaries, we obtain the multiplicity and regularity of the original rings. This work extends results known for a subfamily coming from a two-sided ladder and includes constructive proofs …
-
Algebraic and combinatorial properties of minimal border strip tableaux
… minimal border strip tableaux of [lambda]. The Hilbert series of these spaces is the generating function giving the number of partitions of n into parts differing by at least 2. Applying the Rogers-Ramanujan identity, the generating function also counts the number of partitions of n into parts …