Latest Achievements

Dr. Peter Goetz, Dr. Andrew Conner, Mathematics

Published a paper titled: QUANTUM PROJECTIVE PLANES AS CERTAIN GRADED TWISTED TENSOR PRODUCTS  in The Journal of Algebra; https://doi.org/10.1016/j.jalgebra.2022.11.033. The paper is joint with Dr. Andrew Conner at Saint Mary's College of California and will appear in the April 2023 issue. The main results of the paper are: (1) a classification up to algebra isomorphism of quadratic graded twisted tensor products of K[x,y] and K[z], and (2) the determination of which three-dimensional Sklyanin algebras contain a quantum P^1. Sklyanin algebras first arose in the late 20th century in the context of quantum inverse scattering problems in physics.

Academic Department
Achievement (100 Words Max)

Published a paper titled: QUANTUM PROJECTIVE PLANES AS CERTAIN GRADED TWISTED TENSOR PRODUCTS  in The Journal of Algebra; https://doi.org/10.1016/j.jalgebra.2022.11.033. The paper is joint with Dr. Andrew Conner at Saint Mary's College of California and will appear in the April 2023 issue. The main results of the paper are: (1) a classification up to algebra isomorphism of quadratic graded twisted tensor products of K[x,y] and K[z], and (2) the determination of which three-dimensional Sklyanin algebras contain a quantum P^1. Sklyanin algebras first arose in the late 20th century in the context of quantum inverse scattering problems in physics.

Name(s) of People Involved
Dr. Peter Goetz, Dr. Andrew Conner
Type of Achievement
Faculty
Submitter's Full Name
Peter Goetz
Email
pdg11@humboldt.edu
College
CNRS