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 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 …

In this paper, we study the representations of the periplectic Lie superalgebra using the
Duflo–Serganova functor. Given a simple 𝔭 (n)-module L and a certain odd element x∈ 𝔭 …

We solve two problems in representation theory for the periplectic Lie superalgebra for all
(not just simple or basic) classical Lie superalgebras and a category of Harish-Chandra …

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 determine all values of the parameters for which the cell modules form a standard
system, for a class of cellular diagram algebras including partition, Brauer, walled Brauer …