Primitive ideals of

I Penkov, A Petukhov - Bulletin of the London Mathematical …, 2018 - Wiley Online Library
We provide an explicit description of the primitive ideals of the enveloping algebra U (sl (∞))
of the infinite‐dimensional finitary Lie algebra sl (∞) over an uncountable algebraically …

On homogeneous spaces for diagonal ind-groups

L Fresse, I Penkov - Transformation Groups, 2024 - Springer
We study the homogeneous ind-spaces\(\textrm {GL}(\textbf {s})/\textbf {P}\) where\(\textrm
{GL}(\textbf {s})\) is a strict diagonal ind-group defined by a supernatural number\(\textbf {s}\) …

Primitive ideals of and the Robinson-Schensted algorithm at infinity

I Penkov, A Petukhov - arXiv preprint arXiv:1801.06692, 2018 - arxiv.org
arXiv:1801.06692v1 [math.RT] 20 Jan 2018 Page 1 arXiv:1801.06692v1 [math.RT] 20 Jan
2018 PRIMITIVE IDEALS OF U(sl(∞)) AND THE ROBINSON-SCHENSTED ALGORITHM AT …