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Tensor product degenerate spin affine Hecke superalgebras

Abstract

We define a new class of superalgebras, called tensor product degenerate spin affine Hecke superalgebras, and study their structure theory. We establish an isomorphism that relates the tensor product degenerate spin affine Hecke superalgebras to the tensor product degenerate affine Hecke-Clifford superalgebras. The relationship between these superalgebras is a tensor product analogue of the relationship between the degenerate spin affine Hecke superalgebras and degenerate affine Hecke-Clifford superalgebras.

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BibTeX
@misc{moran2026tensor,
  title = {{Tensor product degenerate spin affine Hecke superalgebras}},
  author = {Thomas Moran},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.28228},
  eprint = {2607.28228},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.28228},
}
RIS
TY  - UNPB
TI  - Tensor product degenerate spin affine Hecke superalgebras
AU  - Thomas Moran
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2607.28228
UR  - https://arxiv.org/abs/2607.28228
AB  - We define a new class of superalgebras, called tensor product degenerate spin affine Hecke superalgebras, and study their structure theory. We establish an isomorphism that relates the tensor product degenerate spin affine Hecke superalgebras to the tensor product degenerate affine Hecke-Clifford superalgebras. The relationship between these superalgebras is a tensor product analogue of the relationship between the degenerate spin affine Hecke superalgebras and degenerate affine Hecke-Clifford superalgebras.
ER  -