Zobrazeno 1 - 10
of 43
pro vyhledávání: '"C. Ryan Vinroot"'
Autor:
Marcelo Aguiar, Carlos André, Carolina Benedetti, Nantel Bergeron, Zhi Chen, Persi Diaconis, Anders Hendrickson, Samuel Hsiao, I. Martin Isaacs, Andrea Jedwab, Kenneth Johnson, Gizem Karaali, Aaron Lauve, Tung Le, Stephen Lewis, Huilan Li, Kay Magaard, Eric Marberg, Jean-Christophe Novelli, Amy Pang, Franco Saliola, Lenny Tevlin, Jean-Yves Thibon, Nathaniel Thiem, Vidya Venkateswaran, C. Ryan Vinroot, Ning Yan, Mike Zabrocki
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AO,..., Iss Proceedings (2011)
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variab
Externí odkaz:
https://doaj.org/article/68c287048f1c4dcd9d735f6b6076c430
Autor:
Bhama Srinivasan, C. Ryan Vinroot
Publikováno v:
Journal of Algebra. 558:708-727
Let G be a connected reductive group with connected center defined over F q , with Frobenius morphism F. Given an irreducible complex character χ of G F with its Jordan decomposition, and a Galois automorphism σ ∈ Gal ( Q ‾ / Q ) , we give the
Publikováno v:
Journal of Algebra. 555:275-288
We prove that there exists an integer-valued function f on positive integers such that if a finite group G has at most k real-valued irreducible characters, then | G / Sol ( G ) | ≤ f ( k ) , where Sol ( G ) denotes the largest solvable normal subg
Autor:
Stephen Trefethen, C. Ryan Vinroot
Publikováno v:
International Journal of Algebra and Computation. 30:141-166
We prove that the finite exceptional groups [Formula: see text], [Formula: see text], and [Formula: see text] have no irreducible complex characters with Frobenius–Schur indicator [Formula: see text], and we list exactly which irreducible character
Autor:
C. Ryan Vinroot
Publikováno v:
Mathematische Zeitschrift. 294:1759-1785
We prove that if G is a finite simple group, then all irreducible complex representations of G may be realized over the real numbers if and only if every element of G may be written as a product of two involutions in G. This follows from our result t
Autor:
Elena Amparo, C. Ryan Vinroot
Publikováno v:
Glasgow Mathematical Journal. 62:93-107
We show that for any n and q, the number of real conjugacy classes in $ \rm{PGL}(\it{n},\mathbb{F}_q) $ is equal to the number of real conjugacy classes of $ \rm{GL}(\it{n},\mathbb{F}_q) $ which are contained in $ \rm{SL}(\it{n},\mathbb{F}_q) $, refi
Autor:
Gregory K. Taylor, C. Ryan Vinroot
Publikováno v:
Journal of the Australian Mathematical Society. 105:380-416
We study the numbers of involutions and their relation to Frobenius–Schur indicators in the groups $\text{SO}^{\pm }(n,q)$ and $\unicode[STIX]{x1D6FA}^{\pm }(n,q)$. Our point of view for this study comes from two motivations. The first is the conje
Autor:
C. Ryan Vinroot
Publikováno v:
International Mathematics Research Notices. 2020:1281-1299
We prove that when q is a power of 2 every complex irreducible representation of $\textrm{Sp}\big (2n, \mathbb{F}_{q}\big )$ may be defined over the real numbers, that is, all Frobenius–Schur indicators are 1. We also obtain a generating function f
It is a classical result in matrix algebra that any square matrix over a field can be conjugated to its transpose by a symmetric matrix. For F a non-Archimedean local field, Tupan used this to give an elementary proof that transpose inverse takes eac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b23f981a2d3057eb2305c4be815c3d2
Publikováno v:
Journal of Group Theory. 19:735-762
We classify all real and strongly real classes of the finite special unitary group SU n ( q ) ${\mathrm{SU}_{n}(q)}$ . Unless q ≡ 3 ( mod 4 ) ${q\equiv 3\;(\operatorname{mod}4)}$ and n | 4 ${n|4}$ , the classification of real classes is