On the divisibility of degrees of representations of Lie groups

dc.contributor.author	SHAH, VARUN	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2025-12-29T06:40:47Z
dc.date.available	2025-12-29T06:40:47Z
dc.date.issued	2025-12	en_US
dc.identifier.citation	Journal of Algebraic Combinatorics, 63(01).	en_US
dc.identifier.issn	1572-9192	en_US
dc.identifier.issn	0925-9899	en_US
dc.identifier.uri	https://doi.org/10.1007/s10801-025-01481-9	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10623
dc.description.abstract	Let g be a reductive Lie algebra and m a positive integer. There is a natural density of irreducible representations of g, whose degrees are not divisible by m. For g = gln , this density decays exponentially to 0 as n. Similar results hold for simple Lie algebras and Lie groups, and there are versions for self-dual and orthogonal representations.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Weyl dimension formula	en_US
dc.subject	Natural density	en_US
dc.subject	Integer-valued polynomials	en_US
dc.subject	2025-DEC-WEEK4	en_US
dc.subject	TOC-DEC-2025	en_US
dc.subject	2025	en_US
dc.title	On the divisibility of degrees of representations of Lie 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