On 1-Dimensional Modules over the Super-Yangian of the Superalgebra Q(1)

Authors

Elena Poletaeva, The University of Texas Rio Grande Valley

Document Type

Book

Publication Date

1-30-2023

Abstract

Let Q(n) be the queer Lie superalgebra. We determine conditions under which two 1-dimensional modules over the super-Yangian of Q(1) can be extended nontrivially, and thus belong to the same block of the category of finite-dimensional YQ(1)-modules. We use these results to determine conditions under which two 1-dimensional modules over the finite W-algebra for Q(n) can be extended nontrivially.

Comments

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Recommended Citation

Poletaeva, E. (2022). On 1-Dimensional Modules over the Super-Yangian of the Superalgebra Q(1). In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2021. Springer Proceedings in Mathematics & Statistics, vol 396. Springer, Singapore. https://doi.org/10.1007/978-981-19-4751-3_19

Publication Title

Lie Theory and Its Applications in Physics

DOI

10.1007/978-981-19-4751-3_19