Tensor Modules of si(∞), o(∞), sp(∞)

Ivan Penkov, Crystal Hoyt

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this chapter we study modules over the infinite-dimensional classical Lie algebras g = g i (∞), s i (∞), o (∞), s p (∞) that are obtained by taking tensor products of the natural and conatural module of g. We will examine the structure of these modules and realize them in a suitable category Tg. This category is not semisimple, but is Koszul in the sense of Beilinson–Ginzburg–Soergel.

Original languageEnglish
Title of host publicationSpringer Monographs in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages36
StatePublished - 2022
Externally publishedYes

Publication series

NameSpringer Monographs in Mathematics
ISSN (Print)1439-7382
ISSN (Electronic)2196-9922

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.


Dive into the research topics of 'Tensor Modules of si(∞), o(∞), sp(∞)'. Together they form a unique fingerprint.

Cite this