We study the category $\mathcal {F} _n $ of finite-dimensional integrable representations of
the periplectic Lie superalgebra $\mathfrak {p}(n) $. We define an action of the Temperley …

This is the first in a series of papers in which we study representations of the Brauer category
and its allies. We define a general notion of triangular category that abstracts key properties …

We derive some tools for classifying tensor ideals in monoidal categories. We use these
results to classify tensor ideals in Deligne's universal categories Rep O_ δ, Rep GL_ δ Rep …

We study the periplectic Brauer algebra introduced by Moon in the study of invariant theory
for periplectic Lie superalgebras. We determine when the algebra is quasi‐hereditary, when …

We define the affine VW supercategory, which arises from studying the action of the
periplectic Lie superalgebra p (n) p (n) on the tensor product M ⊗ V^ ⊗ a M⊗ V⊗ a of an …

We study stabilization of finite-dimensional representations of the periplectic Lie
superalgebras $\mathfrak {p}(n) $ as $ n\to\infty $. The paper gives a construction of the …

We construct a faithful categorical representation of an infinite Temperley-Lieb algebra on
the periplectic analogue of Deligne's universal monoidal category. We use the …

Abstract We formulate Nazarov–Wenzl type algebras P ˆ d− for the representation theory of
the periplectic Lie superalgebras p (n). We establish an Arakawa–Suzuki type functor to …

We establish classical and categorical Howe dualities between the Lie superalgebras p ( m
) \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} …

We introduce a new quantized enveloping superalgebra U qpn attached to the Lie
superalgebra pn of type P. The superalgebra U qpn is a quantization of a Lie bisuperalgebra …