Natural transformations of the composition of Weil and cotangent functors

Miroslav Doupovec

Annales Polonici Mathematici (2001)

  • Volume: 77, Issue: 2, page 105-117
  • ISSN: 0066-2216

Abstract

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We study geometrical properties of natural transformations T A T * T * T A depending on a linear function defined on the Weil algebra A. We show that for many particular cases of A, all natural transformations T A T * T * T A can be described in a uniform way by means of a simple geometrical construction.

How to cite

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Miroslav Doupovec. "Natural transformations of the composition of Weil and cotangent functors." Annales Polonici Mathematici 77.2 (2001): 105-117. <http://eudml.org/doc/280583>.

@article{MiroslavDoupovec2001,
abstract = {We study geometrical properties of natural transformations $T^\{A\}T* → T*T^\{A\}$ depending on a linear function defined on the Weil algebra A. We show that for many particular cases of A, all natural transformations $T^\{A\}T* → T*T^\{A\}$ can be described in a uniform way by means of a simple geometrical construction.},
author = {Miroslav Doupovec},
journal = {Annales Polonici Mathematici},
keywords = {Weil algebra; Weil functor; jet; natural transformation},
language = {eng},
number = {2},
pages = {105-117},
title = {Natural transformations of the composition of Weil and cotangent functors},
url = {http://eudml.org/doc/280583},
volume = {77},
year = {2001},
}

TY - JOUR
AU - Miroslav Doupovec
TI - Natural transformations of the composition of Weil and cotangent functors
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 2
SP - 105
EP - 117
AB - We study geometrical properties of natural transformations $T^{A}T* → T*T^{A}$ depending on a linear function defined on the Weil algebra A. We show that for many particular cases of A, all natural transformations $T^{A}T* → T*T^{A}$ can be described in a uniform way by means of a simple geometrical construction.
LA - eng
KW - Weil algebra; Weil functor; jet; natural transformation
UR - http://eudml.org/doc/280583
ER -

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