Super Bundles

In this paper we give a brief account of the main aspects of the theory of associated and principal super bundles. As an application, we review the Borel-Weil-Bott Theorem in the super setting, and some results on projective embeddings of homogeneous spaces.

Bibliographic Details
Main Authors: Claudio Carmeli, Rita Fioresi, V. S. Varadarajan
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Universe
Subjects:
Online Access:http://www.mdpi.com/2218-1997/4/3/46
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author Claudio Carmeli
Rita Fioresi
V. S. Varadarajan
author_facet Claudio Carmeli
Rita Fioresi
V. S. Varadarajan
author_sort Claudio Carmeli
collection DOAJ
description In this paper we give a brief account of the main aspects of the theory of associated and principal super bundles. As an application, we review the Borel-Weil-Bott Theorem in the super setting, and some results on projective embeddings of homogeneous spaces.
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spelling doaj.art-2f03f574c34a4edc8e943b91c5eb72a12022-12-22T02:57:36ZengMDPI AGUniverse2218-19972018-03-01434610.3390/universe4030046universe4030046Super BundlesClaudio Carmeli0Rita Fioresi1V. S. Varadarajan2DIME, Università di Genova, Via Magliotto 2, 17100 Savona, ItalyDipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, 40126 Bologna, ItalyDepartment of Mathematics, University of California, Los Angeles (UCLA), Los Angeles, CA 90095-1555, USAIn this paper we give a brief account of the main aspects of the theory of associated and principal super bundles. As an application, we review the Borel-Weil-Bott Theorem in the super setting, and some results on projective embeddings of homogeneous spaces.http://www.mdpi.com/2218-1997/4/3/46supergeometrysupergroupsrepresentations
spellingShingle Claudio Carmeli
Rita Fioresi
V. S. Varadarajan
Super Bundles
Universe
supergeometry
supergroups
representations
title Super Bundles
title_full Super Bundles
title_fullStr Super Bundles
title_full_unstemmed Super Bundles
title_short Super Bundles
title_sort super bundles
topic supergeometry
supergroups
representations
url http://www.mdpi.com/2218-1997/4/3/46
work_keys_str_mv AT claudiocarmeli superbundles
AT ritafioresi superbundles
AT vsvaradarajan superbundles