Publication detail

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

TOMÁŠ, J. PETRÁK, F.

English title

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

Type

journal article in Web of Science

Language

en

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.

English 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 in English

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

Released

15.12.2024

Publisher

UNIV NIS, FAC SCI MATH

Location

NIS

ISSN

0354-5180

Volume

38

Number

22

Pages from–to

7755–7773

Pages count

19

BIBTEX


@article{BUT188569,
  author="Jiří {Tomáš} and Filip {Petrák},
  title="Higher-order and Weil Grassmannian as a space of subalgebras of a Weil algebra",
  year="2024",
  volume="38",
  number="22",
  month="December",
  pages="7755--7773",
  publisher="UNIV NIS, FAC SCI MATH",
  address="NIS",
  issn="0354-5180"
}