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Automorphisms and real structures for a Π-symmetric super-Grassmannian.
- Source :
-
Journal of Algebra . Apr2024, Vol. 644, p232-286. 55p. - Publication Year :
- 2024
-
Abstract
- Any complex-analytic vector bundle E admits naturally defined homotheties ϕ α , α ∈ C ⁎ , i.e. ϕ α is the multiplication of a local section by a complex number α. We investigate the question when such automorphisms can be lifted to a non-split supermanifold corresponding to E. Further, we compute the automorphism supergroup of a Π-symmetric super-Grassmannian Π Gr n , k , and, using Galois cohomology, we classify the real structures on Π Gr n , k and compute the corresponding supermanifolds of real points. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VECTOR bundles
*COMPLEX numbers
*AUTOMORPHISMS
*COHOMOLOGY theory
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 644
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 175412382
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.12.033