88 citations · 338 across the 28 of their papers we have counts for
5 papers · 1 filter
Poisson spectra in polynomial algebras
David A. Jordan, Sei-Qwon Oh
A significant class of Poisson brackets on the polynomial algebra $\C[x_1,x_2,..., x_n]$ is studied and, for this class of Poisson brackets, the Poisson prime ideals and Poisson pr…
Poisson brackets and Poisson spectra in polynomial algebras
David A. Jordan, Sei-Qwon Oh
Poisson brackets on the polynomial algebra C[x,y,z] are studied. A description of all such brackets is given and, for a significant class of Poisson brackets, the Poisson prime ide…
Ore extensions and Poisson algebras
David A. Jordan
For a derivation d of a commutative Noetherian complex algebra A, a homeomorphism is established between the prime spectrum of the Ore extension A[z;d] and the Poisson prime spectr…
Cyclic extensions of fusion categories via the Brauer-Picard groupoid
Pinhas Grossman, David Jordan, Noah Snyder
We construct a long exact sequence computing the obstruction space, pi_1(BrPic(C_0)), to G-graded extensions of a fusion category C_0. The other terms in the sequence can be comput…
Lower central series of a free associative algebra over the integers and finite fields
Surya Bhupatiraju, Pavel Etingof, David Jordan +2
Consider the free algebra A_n generated over Q by n generators x_1, ..., x_n. Interesting objects attached to A = A_n are members of its lower central series, L_i = L_i(A), defined…