Published February 2020
| Version v1
Journal article
A Classification of Line Bundles over a Scheme
- 1. Isfahan University of Technology. Department of Mathematical Sciences (Iran, Islamic Republic of)
- 2. Amirkabir University of Technology. Department of Mathematical Sciences (Iran, Islamic Republic of)
Description
In this paper, we attempt to indicate the links between representations over a Lie algebra and line bundles over a scheme. Our hypothesis is that we can make a correspondence between representations of a solvable Lie algebra and line bundles. Finally, we study the decomposition of these bundles by using the representation theory over solvable Lie algebras.
Additional details
Identifiers
Publishing Information
- Journal Title
- Iranian Journal of Science and Technology. Transaction A, Science
- Journal Volume
- 44
- Journal Issue
- 1
- Journal Page Range
- p. 259-263
- ISSN
- 1028-6276
INIS
- Country of Publication
- Iran, Islamic Republic of
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 55066650
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CLASSIFICATION; CLIFFORD ALGEBRA; DECOMPOSITION; DIFFERENTIAL CALCULUS; GRADED LIE GROUPS; IRREDUCIBLE REPRESENTATIONS; LAX THEOREM; LIE GROUPS; MATHEMATICAL SPACE; TOPOLOGY
- Descriptors DEC
- CHEMICAL REACTIONS; LIE GROUPS; MATHEMATICS; SPACE; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2020 © Shiraz University 2020