Publication detail

Higher-order and Weil Grassmannian as a space of subalgebras of a Weil algebra

TOMÁŠ, J. PETRÁK, F.

Original Title

Higher-order and Weil Grassmannian as a space of subalgebras of a Weil algebra

Type

journal article in Web of Science

Language

English

Original Abstract

We give a generalization of Grassmannian to higher-orders. Further, we define its Weil generalization. Our approach enables to consider the generalized Grassmannian as a space of subalgebras of the predominant Weil algebra. The concept of Weil Grassmannian is extended to the bundle functor over m-dimensional manifold. Finally, there is investigated the geometric structures of such objects.

Keywords

r-jet; Weil functor; Grassmannian; jet group; foliation

Authors

TOMÁŠ, J.; PETRÁK, F.

Released

15. 12. 2024

Publisher

UNIV NIS, FAC SCI MATH

Location

NIS

ISBN

0354-5180

Periodical

FILOMAT

Year of study

38

Number

22

State

Republic of Serbia

Pages from

7755

Pages to

7773

Pages count

19

URL

https://www.pmf.ni.ac.rs/filomat-content/2024/38-22/38-22-10-23570.pdf

BibTex

@article{BUT188569,
  author="Jiří {Tomáš} and Filip {Petrák}",
  title="Higher-order and Weil Grassmannian as a space of subalgebras of a Weil algebra",
  journal="FILOMAT",
  year="2024",
  volume="38",
  number="22",
  pages="7755--7773",
  doi="10.2298/FIL2422755T",
  issn="0354-5180",
  url="https://www.pmf.ni.ac.rs/filomat-content/2024/38-22/38-22-10-23570.pdf"
}