30 citations · 60 across the 17 of their papers we have counts for
18 papers
On isomorphisms of ind-varieties of generalized flags
Lucas Fresse, Ivan Penkov
Ind-varieties of generalized flags have been studied for two decades. However, a precise statement of when two such ind-varieties, one or both being possibly ind-varieties of isotr…
On homogeneous spaces for diagonal ind-groups
Lucas Fresse, Ivan Penkov
We study the homogeneous ind-spaces where is a strict diagonal ind-group defined by a supernatural number $\mathbf{s}…
Topological semiinfinite tensor (super)modules
Francesco Esposito, Ivan Penkov
We construct universal monoidal categories of topological tensor supermodules over the Lie superalgebras and associated wit…
Topological tensor representations of gl(V) for a space V of countable dimension
Francesco Esposito, Ivan Penkov
The Lie algebra is the Lie algebra of all endomorphisms of a countable-dimensional complex vector space . We define a tensor category of topological representations of t…
Bounded weight modules for basic classical Lie superalgebras at infinity
Dimitar Grantcharov, Ivan Penkov, Vera Serganova
We classify simple bounded weight modules over the complex simple Lie superalgebras and , when at least one of and …
Integrable bounded weight modules of classical Lie superalgebras at infinity
Lucas Calixto, Ivan Penkov
We classify integrable bounded simple weight modules over classical Lie superalgebras at infinity. We also study the categories of such modules, and we prove that for most of the c…