Group superschemes | Sciact

Group superschemes Full article

Journal

Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X

Output data

Year: 2022, Volume: 605, Pages: 89-145 Pages count : 57 DOI: 10.1016/j.jalgebra.2022.04.027

Tags

Abelian supervarieties; Group superschemes; Harish-Chandra pairs; Hopf superalgebras; Pseudoabelian group superschemes; Sheaf quotient; Supercoalgebras

Authors

Masuoka A. ¹ , Zubkov A.N. ^2,3

Affiliations

1	Institute of Mathematics, University of Tsukuba, Ibaraki, 305-8571, Japan
2	Department of Mathematical Science, UAEU, Al Ain, United Arab Emirates
3	Sobolev Institute of Mathematics, Omsk Branch, Pevtzova 13, 644043 Omsk,Russian Federation

We develop a general theory of algebraic group superschemes, which are not necessarily affine. Our key result is a category equivalence between those group superschemes and Harish-Chandra pairs, which generalizes the result known for affine algebraic group superschemes. Then we present the applications, including the Barsotti-Chevalley Theorem in the super context, and an explicit construction of the quotient superscheme G/H of an algebraic group superscheme G by a group super-subscheme H.

Masuoka A. , Zubkov A.N.
Group superschemes
Journal of Algebra. 2022. V.605. P.89-145. DOI: 10.1016/j.jalgebra.2022.04.027 WOS Scopus РИНЦ OpenAlex

Submitted:	Oct 14, 2021
Published online:	May 4, 2022

Web of science:	WOS:000830904200004
Scopus:	2-s2.0-85129485424
Elibrary:	48582632
OpenAlex:	W4225369916

DB	Citing
Scopus	5
Web of science	5
OpenAlex	6
Elibrary	4