Abstract
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 language | English |
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Title of host publication | Springer Monographs in Mathematics |
Publisher | Springer Science and Business Media Deutschland GmbH |
Pages | 89-124 |
Number of pages | 36 |
DOIs | |
State | Published - 2022 |
Externally published | Yes |
Publication series
Name | Springer Monographs in Mathematics |
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ISSN (Print) | 1439-7382 |
ISSN (Electronic) | 2196-9922 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.