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Unipot

Computing with elements of unipotent subgroups of Chevalley groups

1.7

16 August 2026

Sergei Haller
Email: sergei@sergei-haller.de
Homepage: https://www.sergei-haller.de

Contents

1 Preface
 1.1 Root Systems
 1.2 Citing Unipot
2 The GAP Package Unipot
 2.1 General functionality

  2.1-1 UnipotChevInfo
 2.2 Unipotent subgroups of Chevalley groups

  2.2-1 IsUnipotChevSubGr
  2.2-2 UnipotChevSubGr
  2.2-3 PrintObj
  2.2-4 One
  2.2-5 Size
  2.2-6 RootSystem
  2.2-7 PositiveRootsFC
  2.2-8 GeneratorsOfGroup
  2.2-9 Representative
  2.2-10 CentralElement
 2.3 Elements of unipotent subgroups of Chevalley groups

  2.3-1 IsUnipotChevElem
  2.3-2 IsUnipotChevRepByRootNumbers
  2.3-3 UNIPOT_DEFAULT_REP
  2.3-4 UnipotChevElemByRootNumbers
  2.3-5 UnipotChevElemByFundamentalCoeffs
  2.3-6 UnipotChevElemByRoots
  2.3-7 UnipotChevElemByRootNumbers
  2.3-8 CanonicalForm
  2.3-9 PrintObj
  2.3-10 ShallowCopy
  2.3-11 \=
  2.3-12 \<
  2.3-13 \*
  2.3-14 OneOp
  2.3-15 Inverse
  2.3-16 IsOne
  2.3-17 \^
  2.3-18 \^
  2.3-19 Comm
  2.3-20 IsRootElement
  2.3-21 IsCentral
 2.4 Symbolic computation
References
Index

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