MS-1 Linear Algebra Aspects of Association Schemes (Association Schemes)

Organizers: Allen Herman (Regina) and Bangteng Xu (Eastern Kentucky)

Research on association schemes has continued to evolve in the last decade, led by advances in both the combinatorial and representation-theoretic directions that rely heavily on linear algebraic techniques. This mini-symposia will highlight the applications of linear algebra in this field, featuring talks by invited speakers on characterizations of table algebras of low rank, on new characterizations of P- and Q-polynomial association schemes, on new applications of Terwilliger algebras of association schemes, and on new descriptions of the algebraic properties of distance regular and strongly regular digraphs.

Speakers

Harvey Blau, Reality-based algebras with a 2-dimensional representation

Brian Curtin, Co-split Leonard Systems

Christopher French, Realizations of nonsymmetric hypergroups of rank 4 as association schemes

Mitsugu Hirasaka, On meta-thin association schemes with certain conditions

Siwaporn Mamart, Merging in bipartite distance-regular graphs

Alyssa Sankey, Covering configurations derived from weighted coherent configurations

Gurmail Singh, C-algebras arising from integral Fourier matrices

Sung-Yell Song, Partial geometric designs obtained from association schemes

Supalak Sumalroj, The nonexistence of a distance-regular graph with intersection array {22,16,5;1,2,20}

Paul Terwillinger, Leonard triples of q-Racah type and their pseudo intertwiners

Jason Williford, Q-polynomial association schemes with at most 5 classes.

Bangteng Xu, Pseudo-direct sums and wreath products of loose-coherent algebras with applications to coherent configurations