Abstract
AbstractWe establish classical and categorical Howe dualities between the Lie superalgebras $$\mathfrak {p}(m)$$
p
(
m
)
and $$\mathfrak {p}(n)$$
p
(
n
)
, for $$m,n \ge 1$$
m
,
n
≥
1
. We also describe a presentation via generators and relations as well as a Kostant $$\mathbb {Z}$$
Z
-form for the universal enveloping superalgebra $$U(\mathfrak {p}(m))$$
U
(
p
(
m
)
)
.
Publisher
Springer Science and Business Media LLC