An introduction to loopoids

Janusz Grabowski

Commentationes Mathematicae Universitatis Carolinae (2016)

  • Volume: 57, Issue: 4, page 515-526
  • ISSN: 0010-2628

Abstract

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We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.

How to cite

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Grabowski, Janusz. "An introduction to loopoids." Commentationes Mathematicae Universitatis Carolinae 57.4 (2016): 515-526. <http://eudml.org/doc/287543>.

@article{Grabowski2016,
abstract = {We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.},
author = {Grabowski, Janusz},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {group; Brandt groupoid; Lie group; loop; transversals; discrete mechanics},
language = {eng},
number = {4},
pages = {515-526},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An introduction to loopoids},
url = {http://eudml.org/doc/287543},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Grabowski, Janusz
TI - An introduction to loopoids
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 4
SP - 515
EP - 526
AB - We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
LA - eng
KW - group; Brandt groupoid; Lie group; loop; transversals; discrete mechanics
UR - http://eudml.org/doc/287543
ER -

References

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