Webs give a diagrammatic calculus for spaces of tensor invariants. We introduce hourglass
plabic graphs as a new avatar of webs, and use these to give the first rotation-invariant …

Let and be two lists of variables, and consider the diagonal action of on the exterior algebra
generated by these variables. Jongwon Kim and the 2nd author defined and studied the …

For a complex reductive group $ H $ with finite-dimensional representations $ W $ and $ U
$, the module of covariants for $ W $ of type $ U $ is the space of all $ H $-equivariant …

We introduce hourglass plabic graphs and prove that certain of these graphs index a
rotation-invariant SL4-web basis, a structure that has been sought since Kuperberg's …

Webs yield an especially important realization of certain Specht modules, irreducible
representations of symmetric groups, as they provide a pictorial basis with a convenient …

Webs are certain planar diagrams embedded in disks. They index and describe bases of
tensor products of representations of $\mathfrak {sl} _2 $ and $\mathfrak {sl} _3 $. There are …

Let $\Theta_n=(\theta_1,\dots,\theta_n) $ and $\**_n=(\xi_1,\dots,\xi_n) $ be two lists of $ n $
variables and consider the diagonal action of $\mathfrak {S} _n $ on the exterior algebra …

We show that the transition matrix from the standard basis to the web basis for a Specht
module of the Hecke algebra is unitriangular and satisfies a strong positivity property …

Rhoades defined a skein action of the symmetric group on noncrossing set partitions which
generalized an action of the symmetric group on matchings. The $\mathfrak {S} _n $-action …

We prove a cyclic sieving result for the set of $3\times k $ packed increasing tableaux with
maximum entry $ m:= 3+ k $ under K-promotion. The" curiosity" is that the sieving polynomial …