Publication detail

Higher-order and Weil generalization of Grassmannian

TOMÁŠ, J.

Original Title

Higher-order and Weil generalization of Grassmannian

Type

conference paper

Language

English

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.

Keywords

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

Authors

TOMÁŠ, J.

Released

16. 1. 2023

Publisher

Elsevier

ISBN

2452-3216

Periodical

Procedia Structural Integrity

Year of study

43

Number

1

State

Republic of Italy

Pages from

65

Pages to

70

Pages count

6

URL

Full text in the Digital Library

BibTex

@inproceedings{BUT181400,
  author="Jiří {Tomáš}",
  title="Higher-order and Weil generalization of Grassmannian",
  booktitle="MSMF 10 Proceedings",
  year="2023",
  journal="Procedia Structural Integrity",
  volume="43",
  number="1",
  pages="65--70",
  publisher="Elsevier",
  doi="10.1016/j.prostr.2022.12.236",
  issn="2452-3216",
  url="https://authors.elsevier.com/sd/article/S2452-3216(22)00799-5"
}