Ayyer, Arvind ; Prasad, Amritanshu ; Spallone, Steven (2017) Representations of symmetric groups with non-trivial determinant Journal of Combinatorial Theory - Series A, 150 . pp. 208-232. ISSN 0097-3165
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Official URL: http://doi.org/10.1016/j.jcta.2017.03.004
Related URL: http://dx.doi.org/10.1016/j.jcta.2017.03.004
Abstract
We give a closed formula for the number of partitions λ of n such that the corresponding irreducible representation Vλ of Sn has non-trivial determinant. We determine how many of these partitions are self-conjugate and how many are hooks. This is achieved by characterizing the 2-core towers of such partitions. We also obtain a formula for the number of partitions of n such that the associated permutation representation of Sn has non-trivial determinant.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 121495 |
| Deposited On: | 17 Jul 2021 08:13 |
| Last Modified: | 17 Jul 2021 08:13 |
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