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

In this paper, we give an explicit formula of Chevalley type, in terms of theBruhat graph, for the quantum multiplication with the class of the line bundleassociated to the anti-dominant minuscule fundamental weight $- \varpi_{k}$ inthe torus-equivariant quantum $K$-group of the partial flag manifold $G/P_{J}$(where $J = I \setminus \{k\}$) corresponding to the maximal (standard)parabolic subgroup $P_{J}$ of minuscule type in type $A$, $D$, $E$, or $B$.This result is obtained by proving a similar formula in a torus-equivariant$K$-group of the semi-infinite partial flag manifold $\mathbf{Q}_{J}$ ofminuscule type, and then by making use of the isomorphism between thetorus-equivariant quantum $K$-group of $G/P_{J}$ and the torus-equivariant$K$-group of $\mathbf{Q}_{J}$, recently established by Kato.

Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum $K$-group of partial flag manifolds