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19952026
most citedElectromagnetic Angular Momentum

1.4k citations

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59 papers · 1 filter

math.RT2024

Bubbles in the affine Brauer and Kauffman categories

Alistair Savage, Ben Webster

We introduce a generating function approach to the affine Brauer and Kauffman categories and show how it allows one to efficiently recover important sets of relations in these cate…

math.RT2024

Affine Frobenius Brauer Categories

Saima Samchuck-Schnarch

We define the affine Frobenius Brauer categories associated to each symmetric involutive Frobenius superalgebra . We then define an action of these categories on the categories…

math.RT2023★ 1 cited

The local character expansion as branching rules: nilpotent cones and the case of

Monica Nevins

We show there exist representations of each maximal compact subgroup of the -adic group , attached to each nilpotent coadjoint orbit, such that every irr…

math.RT2023

The refined solution to the Capelli eigenvalue problem for and

Mengyuan Cao, Monica Nevins, Hadi Salmasian

Let be either the Lie superalgebra where or the Lie superalgebra where $V:=\mathbb C^…

math.RT2023★ 2 cited

Diagrammatics for real supergroups

Saima Samchuck-Schnarch, Alistair Savage

We introduce two families of diagrammatic monoidal supercategories. The first family, depending on an associative superalgebra, generalizes the oriented Brauer category. The second…

math.RT2022

Classification and double commutant property for dual pairs in an orthosymplectic Lie supergroup

Allan Merino, Hadi Salmasian

In this paper, we obtain a full classification of reductive dual pairs in a, real or complex, Lie superalgebra and Lie supergroup . Moreover, b…