Publication detail

Higher-order and Weil generalization of Grassmannian

TOMÁŠ, J.

English title

Higher-order and Weil generalization of Grassmannian

Type

conference paper

Language

en

Original abstract

We give a simple mechanical motivation for a generalization of the classical Grassmannian considered as a space of m-dimensional linear subspaces of Rk to higher-orders cases. Our efforts are prolongated to the Weil functor theory, motivated by non-holonomic and semi-holonomic jets, applicable in the description of the Cosserat model.

English abstract

We give a simple mechanical motivation for a generalization of the classical Grassmannian considered as a space of m-dimensional linear subspaces of Rk to higher-orders cases. Our efforts are prolongated to the Weil functor theory, motivated by non-holonomic and semi-holonomic jets, applicable in the description of the Cosserat model.

Keywords in English

jet; bundle functor; Weil functor; Lie group; jet group; principal bundle; homogeneous space

Released

16.01.2023

Publisher

Elsevier

ISSN

2452-3216

Book

MSMF 10 Proceedings

Volume

43

Number

1

Edition number

1

Pages from–to

65–70

Pages count

6

BIBTEX


@inproceedings{BUT181400,
  author="Jiří {Tomáš},
  title="Higher-order and Weil generalization of Grassmannian",
  booktitle="MSMF 10 Proceedings",
  year="2023",
  volume="43",
  number="1",
  month="January",
  pages="65--70",
  publisher="Elsevier",
  issn="2452-3216"
}