Symmetries of the WDVV equations and Chazy-type equations

Ruud Martini, Gerhard F. Post

Research output: Book/ReportReportProfessional

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Abstract

We investigate the symmetry structure of the WDVV equations. We obtain an $r$-parameter group of symmetries, where $r = (n^2 + 7n + 2)/2 + \lfloor n/2 \rfloor$. Moreover it is proved that for $n=3$ and $n=4$ these comprise all symmetries. We determine a subgroup, which defines an $SL_2$-action on the space of solutions. For the special case $n=3$ this action is compared to the $SL_2$-symmetry of the Chazy equation. For $n=4$ and $n=5$ we construct new, Chazy-type, solutions.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversiteit Twente
Number of pages8
Publication statusPublished - 1998

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherUniversity of Twente, Department of Applied Mathematics
No.1466
ISSN (Print)0169-2690

Keywords

  • EWI-3286
  • MSC-35Q99
  • MSC-81T40
  • MSC-17B66
  • IR-65655
  • MSC-35N05
  • METIS-141310

Cite this

Martini, R., & Post, G. F. (1998). Symmetries of the WDVV equations and Chazy-type equations. (Memorandum / Department of Applied Mathematics; No. 1466). Enschede: Universiteit Twente.
Martini, Ruud ; Post, Gerhard F. / Symmetries of the WDVV equations and Chazy-type equations. Enschede : Universiteit Twente, 1998. 8 p. (Memorandum / Department of Applied Mathematics; 1466).
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Martini, R & Post, GF 1998, Symmetries of the WDVV equations and Chazy-type equations. Memorandum / Department of Applied Mathematics, no. 1466, Universiteit Twente, Enschede.

Symmetries of the WDVV equations and Chazy-type equations. / Martini, Ruud; Post, Gerhard F.

Enschede : Universiteit Twente, 1998. 8 p. (Memorandum / Department of Applied Mathematics; No. 1466).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - Symmetries of the WDVV equations and Chazy-type equations

AU - Martini, Ruud

AU - Post, Gerhard F.

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - We investigate the symmetry structure of the WDVV equations. We obtain an $r$-parameter group of symmetries, where $r = (n^2 + 7n + 2)/2 + \lfloor n/2 \rfloor$. Moreover it is proved that for $n=3$ and $n=4$ these comprise all symmetries. We determine a subgroup, which defines an $SL_2$-action on the space of solutions. For the special case $n=3$ this action is compared to the $SL_2$-symmetry of the Chazy equation. For $n=4$ and $n=5$ we construct new, Chazy-type, solutions.

AB - We investigate the symmetry structure of the WDVV equations. We obtain an $r$-parameter group of symmetries, where $r = (n^2 + 7n + 2)/2 + \lfloor n/2 \rfloor$. Moreover it is proved that for $n=3$ and $n=4$ these comprise all symmetries. We determine a subgroup, which defines an $SL_2$-action on the space of solutions. For the special case $n=3$ this action is compared to the $SL_2$-symmetry of the Chazy equation. For $n=4$ and $n=5$ we construct new, Chazy-type, solutions.

KW - EWI-3286

KW - MSC-35Q99

KW - MSC-81T40

KW - MSC-17B66

KW - IR-65655

KW - MSC-35N05

KW - METIS-141310

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T3 - Memorandum / Department of Applied Mathematics

BT - Symmetries of the WDVV equations and Chazy-type equations

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Martini R, Post GF. Symmetries of the WDVV equations and Chazy-type equations. Enschede: Universiteit Twente, 1998. 8 p. (Memorandum / Department of Applied Mathematics; 1466).