GROTHENDIECK RINGS OF QUEER LIE SUPERALGEBRAS

Shifra Reif

doi:10.1090/proc/16071

GROTHENDIECK RINGS OF QUEER LIE SUPERALGEBRAS

Shifra Reif

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We determine the Grothendieck rings of the category of finite-dimensional modules over Queer Lie superalgebras via their rings of characters. In particular, we show that the Q-span of the ring of characters of the Queer Lie supergroup Q(n) is isomorphic to the ring of Laurent polynomials in x₁, . . ., x_n for which the evaluation x_n−₁ = −x_n = t is independent of t. We thus complete the description of Grothendieck rings for all classical Lie superalgebras.

Original language	English
Pages (from-to)	3201-3211
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	8
DOIs	https://doi.org/10.1090/proc/16071
State	Published - 1 Aug 2023

Bibliographical note

Publisher Copyright:
© 2023 American Mathematical Society.

Funding

Received by the editors July 14, 2021, and, in revised form, January 3, 2022, and February 28, 2022. 2020 Mathematics Subject Classification. Primary 17B10, 17B20. This project was partially supported by Israel Science Foundations Grants No. 1221/17 and 1957/21.

Funders	Funder number
Israel Science Foundation	1221/17, 1957/21

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GROTHENDIECK RINGS OF QUEER LIE SUPERALGEBRAS

Abstract

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