English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Half turn symmetric alternating sign matrices (HTSASMs) are specialvariations of the well-known alternating sign matrices which have a long andfascinating history. HTSASMs are interesting combinatorial objects in their ownright and have been the focus of recent study. Here we explore countingweighted HTSASMs with respect to a number of statistics to derive an orthogonalgroup version of Tokuyama's factorisation formula, which involves a deformationand expansion of Weyl's denominator formula multiplied by a general lineargroup character. Deformations of Weyl's original denominator formula to otherroot systems have been discovered by Okada and Simpson, and it is thus naturalto ask for versions of Tokuyama's factorisation formula involving other rootsystems. Here we obtain such a formula involving a deformation of Weyl'sdenominator formula for the orthogonal group multiplied by a deformation of anorthogonal group character.

Half-turn symmetric alternating sign matrices and Tokuyama type factorisation for orthogonal group characters