Detail publikace
Higher-order and Weil Grassmannian as a space of subalgebras of a Weil algebra
TOMÁŠ, J. PETRÁK, F.
Anglický název
Higher-order and Weil Grassmannian as a space of subalgebras of a Weil algebra
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
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.
Anglický abstrakt
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.
Klíčová slova anglicky
r-jet; Weil functor; Grassmannian; jet group; foliation
Vydáno
15.12.2024
Nakladatel
UNIV NIS, FAC SCI MATH
Místo
NIS
ISSN
0354-5180
Ročník
38
Číslo
22
Strany od–do
7755–7773
Počet stran
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"
}