On representations of the super-Yangian of the queer Lie superalgebra

Authors

Elena Poletaeva, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-2024

Abstract

Let Q(n) be the queer Lie superalgebra. We determine conditions under which two 1-dimensional modules over the super-Yangian of Q(n) can be extended nontrivially. We describe the dual modules of the simple finite-dimensional modules over YQ(1) . We use these results to describe blocks in the subcategory of finite-dimensional YQ(1) -modules admitting the zero generalized central character.

Comments

Original published version available at https://doi.org/10.1016/j.geomphys.2024.105337

Recommended Citation

Poletaeva, Elena. "On representations of the super-Yangian of the queer Lie superalgebra." Journal of Geometry and Physics 206 (2024): 105337. https://doi.org/10.1016/j.geomphys.2024.105337

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Journal of Geometry and Physics

DOI

https://doi.org/10.1016/j.geomphys.2024.105337