dc.contributor.author |
Ghosh, Debarun |
en_US |
dc.contributor.author |
SPALLONE, STEVEN |
en_US |
dc.date.accessioned |
2020-02-11T10:36:27Z |
|
dc.date.available |
2020-02-11T10:36:27Z |
|
dc.date.issued |
2019-05 |
en_US |
dc.identifier.citation |
Journal of Algebraic Combinatorics, 49(3),229-265. |
en_US |
dc.identifier.issn |
0925-9899 |
en_US |
dc.identifier.issn |
1572-9192 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4409 |
|
dc.identifier.uri |
https://doi.org/10.1007/s10801-018-0842-2 |
en_US |
dc.description.abstract |
In Ayyer et al. (J Comb Theory Ser A 150:208-232, 2017), the authors characterize the partitions of n whose corresponding representations of S-n have nontrivial determinant. The present paper extends this work to all irreducible finite Coxeter groups W. Namely, given a nontrivial multiplicative character omega of W, we give a closed formula for the number of irreducible representations of W with determinant omega. For Coxeter groups of type B-n and D-n, this is accomplished by characterizing the bipartitions associated to such representations. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Springer Nature |
en_US |
dc.subject |
Coxeter groups |
en_US |
dc.subject |
Hyperoctahedral |
en_US |
dc.subject |
2-Core towers |
en_US |
dc.subject |
Specht modules |
en_US |
dc.subject |
Core and quotient of partitions |
en_US |
dc.subject |
Determinant of representations |
en_US |
dc.subject |
Representation theory of symmetric group |
en_US |
dc.subject |
2019 |
en_US |
dc.title |
Determinants of representations of Coxeter groups |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Mathematics |
en_US |
dc.identifier.sourcetitle |
Journal of Algebraic Combinatorics |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |