Dimension-independent statistics of 𝐺𝑙_{𝑛}(𝔽_{𝕢}) via character polynomials

Autor:	Nir Gadish
Rok vydání:	2019
Předmět:	Set (abstract data type) Combinatorics Character (mathematics) Dimension (vector space) Symmetric group Applied Mathematics General Mathematics Expected value Representation (mathematics) Stability (probability) Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 148:1043-1047
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/14781
Popis:	Picking permutations at random, the expected number of k k -cycles is known to be 1 / k 1/k and is, in particular, independent of the size of the permuted set. This short note gives similar size-independent statistics of finite general linear groups: ones that depend only on small minors. The proof technique uses combinatorics of categories, motivated by representation stability, and applies simultaneously to symmetric groups, finite linear groups, and many other settings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::447b7dce2f20949c0e77283d2f5fc3eb https://doi.org/10.1090/proc/14781 Zobrazit plný text záznamu