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Representations of symmetric groups with non-trivial determinant

Ayyer, Arvind and Prasad, Amritanshu and Spallone, Steven (2017) Representations of symmetric groups with non-trivial determinant. In: JOURNAL OF COMBINATORIAL THEORY SERIES A, 150 . pp. 208-232.

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Official URL: http://dx.doi.org/10.1016/j.jcta.2017.03.004

Abstract

We give a closed formula for the number of partitions A of n such that the corresponding irreducible representation V-lambda of S-n 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 S-n has non-trivial determinant. (C) 2017 Elsevier Inc. All rights reserved.

Item Type: Journal Article
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Additional Information: Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 10 Jun 2017 04:35
Last Modified: 10 Jun 2017 04:35
URI: http://eprints.iisc.ernet.in/id/eprint/57135

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