Representations of the restricted Lie superalgebra p(n)

TL;DR

This paper investigates the structure of the center of certain algebra quotients related to the Lie superalgebra p(n) and explores its implications for restricted representations.

Contribution

It provides new insights into the center of quotient algebras of the reduced enveloping algebra of p(n) and advances understanding of restricted representations.

Findings

Characterization of the center of algebra quotients

Analysis of restricted representations of p(n)

New structural results on reduced enveloping algebras

Abstract

The center of a quotient of the reduced enveloping algebra of p(n) is studied. By using the obtained results, the restricted representation of p(n) is investigated.