Lie algebras and 3-transpositions

H. Cuypers; J. in 't panhuis; M. Horn; S. Shpectorov

doi:10.1016/j.jalgebra.2012.06.010

Lie algebras and 3-transpositions

H. Cuypers, J. in 't panhuis, M. Horn, S. Shpectorov

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie algebras arise by this construction. Among other things, this construction yields a natural embedding of the sporadic simple group Fi in the group E62(2).

Original language	English
Pages (from-to)	21-39
Number of pages	19
Journal	Journal of Algebra
Volume	368
DOIs	https://doi.org/10.1016/j.jalgebra.2012.06.010
Publication status	Published - 15 Oct 2012

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10.1016/j.jalgebra.2012.06.010

Lie Algebras and incidence geometry
Shpectorov, S. & Gramlich, R.
Engineering & Physical Science Research Council
1/09/09 → 31/05/10
Project: Research Councils

Cite this

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title = "Lie algebras and 3-transpositions",

abstract = "We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie algebras arise by this construction. Among other things, this construction yields a natural embedding of the sporadic simple group Fi in the group E62(2).",

author = "H. Cuypers and {in 't panhuis}, J. and M. Horn and S. Shpectorov",

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AU - Cuypers, H.

AU - in 't panhuis, J.

AU - Horn, M.

AU - Shpectorov, S.

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Y1 - 2012/10/15

N2 - We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie algebras arise by this construction. Among other things, this construction yields a natural embedding of the sporadic simple group Fi in the group E62(2).

AB - We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie algebras arise by this construction. Among other things, this construction yields a natural embedding of the sporadic simple group Fi in the group E62(2).

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U2 - 10.1016/j.jalgebra.2012.06.010

DO - 10.1016/j.jalgebra.2012.06.010

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AN - SCOPUS:84863452247

SN - 0021-8693

VL - 368

SP - 21

EP - 39

JO - Journal of Algebra

JF - Journal of Algebra

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Lie algebras and 3-transpositions

Abstract

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Projects

Lie Algebras and incidence geometry

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