Yangian of the Periplectic Lie Superalgebra-Reference-Cited by-同舟云学术

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Yangian of the Periplectic Lie Superalgebra

Published:2024-08-24 Issue:9 Volume:405 Page:
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Nazarov Maxim^ORCID

Abstract

AbstractWe study in detail the Yangian of the periplectic Lie superalgebra. For this Yangian we verify an analogue of the Poincaré–Birkhoff–Witt Theorem. Moreover we introduce a family of free generators of the centre of this Yangian.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00220-024-05080-w.pdf

Reference28 articles.

1. Ahmed, S., Grantcharov, D., Guay, N.: Quantized enveloping superalgebra of type $$P$$. Lett. Math. Phys. 111, 84 (2021)

2. Ahmed, S., Grantcharov, D., Guay, N.: Highest weight modules over the quantum periplectic superalgebra of type $$P$$. J. Algebra 639, 187–227 (2024)

3. Arnaudon, D., Molev, A., Ragoucy, E.: On the R-matrix realization of Yangians and their representations. Ann. Henri Poincaré 7, 1269–1325 (2006)

4. Balagovic, M., Daugherty, Z., Entova-Aizenbud, I., Halacheva, I., Hennig, J., Im, M.S., Letzter, G., Norton, E., Serganova, V., Stroppel, C.: Translation functors and decomposition numbers for the periplectic Lie superalgebra $${\mathfrak{p} }(n)$$. Math. Res. Lett. 26, 643–710 (2019)

5. Berezin, F.A.: Introduction to Superanalysis. D. Reidel, Dordrecht (1987)

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