Zobrazeno 1 - 10
of 132
pro vyhledávání: '"D E, TAYLOR"'
Autor:
Krishnasamy Muraleedaran, D. E. Taylor
It is well known that the normaliser of a parabolic subgroup of a finite Coxeter group is the semidirect product of the parabolic subgroup by the stabiliser of a set of simple roots. We show that a similar result holds for all finite unitary reflecti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58375d3b86c65d27ff25d2b69761a5da
Autor:
D. E. Taylor
Publikováno v:
Journal of Algebra. 366:218-234
All simple extensions of the reflection subgroups of a finite complex reflection group G are determined up to conjugacy. As a consequence, it is proved that if the rank of G is n and if G can be generated by n reflections, then for every set R of n r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55c23f47d5aaf68e787419f9f37fcd40
Autor:
Muraleedaran Krishnasamy, D. E. Taylor
Publikováno v:
Journal of the Australian Mathematical Society. 85:211-228
A star is a planar set of three lines through a common point in which the angle between each pair is 60∘. A set of lines through a point in which the angle between each pair of lines is 60 or 90∘ is star-closed if for every pair of its lines at 6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00d732641e3df96df727fbacef7e539d
https://doi.org/10.1017/s1446788708000955
https://doi.org/10.1017/s1446788708000955
Autor:
D. E. Taylor, Aaron Cohen
Publikováno v:
The American Mathematical Monthly. 114:633-639
Some years ago W. Plesken told the first author of a simple but interesting construction of a Lie algebra from a finite group. The authors posed themselves the question as to what the structure of this Lie algebra might be. In particular, for which g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f79fc573f190f984245bfc215061573
https://doi.org/10.1080/00029890.2007.11920454
https://doi.org/10.1080/00029890.2007.11920454
Publikováno v:
Mathematics of Computation, 73(247), 1477-1498. American Mathematical Society
We describe two methods for computing with the elements of untwisted groups of Lie type: using the Steinberg presentation and using highest weight representations. We give algorithms for element arithmetic within the Steinberg presentation. Conversio
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5c5328b40882201f72439a0bd8e37d6
https://doi.org/10.1090/s0025-5718-03-01582-5
https://doi.org/10.1090/s0025-5718-03-01582-5
Autor:
D. E. Taylor, Leanne Rylands
Publikováno v:
Designs, Codes and Cryptography. 21:191-203
In this note we reverse the usual process of constructing the Lie algebras of types G_2 and F_4 as algebras of derivations of the split octonions or the exceptional Jordan algebra and instead begin with their Dynkin diagrams and then construct the al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf8a34ed015b4a9961591786ca22ae37
https://doi.org/10.1023/a:1008399914122
https://doi.org/10.1023/a:1008399914122
Autor:
Arun Ram, D. E. Taylor
Publikováno v:
manuscripta mathematica. 99:13-37
A general method for computing irreducible representations of Weyl groups and Iwahori–Hecke algebras was introduced by the first author in [10]. In that paper the representations of the algebras of types An, Bn, Dn and Gn were computed and it is th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbb728dea7761a6cd57ccae68cc84b76
https://doi.org/10.1007/s002290050160
https://doi.org/10.1007/s002290050160
Autor:
D. E. Taylor, Leanne Rylands
Publikováno v:
Journal of Symbolic Computation. 25(3):351-360
In 1962 Steinberg gave pairs of generators for all finite simple groups of Lie type. In this paper, for each finite orthogonal group we provide a pair of matrices which generate its derived group: the matrices correspond to Steinberg's generators mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59c4edea6b63ca6332e58173419f52ad
Publikováno v:
Manuscripta Mathematica. 93:499-513
It is shown that the outer automorphism group of a Coxeter groupW of finite rank is finite if the Coxeter graph contains no infinite bonds. A key step in the proof is to show that if the group is irreducible andΠ1 andΠ2 any two bases of the root sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fbcf08049028359e7b04c75aac233f4
https://doi.org/10.1007/bf02677488
https://doi.org/10.1007/bf02677488
Autor:
D. E. Taylor, Ming-Yao Xu
Publikováno v:
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 57:113-124
Given an infinite family of finite primitive groups, conditions are found which ensure that almost all the orbitals are not self-paired. If p is a prime number congruent to ±1(mod 10), these conditions apply to the groups P S L (2, p) acting on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb170201d974232e95d2fdaa3fdde44c
https://doi.org/10.1017/s1446788700036090
https://doi.org/10.1017/s1446788700036090