Fereshte Bahadorykhalily

Fereshte Bahadorykhalily
Institute for Advanced Studies in Basic Sciences | IASBS · Department of Mathematics

Master of Science
Machine learning and data science

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5
Publications
274
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Citations

Publications

Publications (5)
Article
Full-text available
A new generalization of Grassmannians to supergeometry, different from the well known supergrassmannian, is introduced. These are constructed by gluing a finite number of copies of a \nu\- domain, i.e. a superdomain with an odd involution, say \nu\, on their structure sheaf considered as a sheaf of C^\infty_{R^m}-modules.
Code
http://www2.macaulay2.com/Macaulay2/doc/Macaulay2-1.18/share/doc/Macaulay2/SuperLinearAlgebra/html/index.html
Article
The purpose of this short note is to consider multivariate Hasse-Schmidt derivations on exterior algebras and to show how they easily provide remarkable identities, holding in the algebra of square matrices, which generalize the classical theorem of Cayley–Hamilton.
Preprint
‎The purpose of this short note is to consider multi-variate Hasse-Schmidt derivations on exterior algebras and to show that as they easily provide remarkable identities that hold in the algebra of square matrices‎, ‎they also generalize the classical theorem of Cayley-Hamilton‎.
Article
A new generalization of Grassmannians in supergeometry, called ν−Grassmannians, are constructed by gluing ν−domains. By a ν−domain, we mean a superdomain with an odd involution say ν on its structure sheaf, as morphism of modules. Then we show that ν−Grassmannians are homogeneous superspaces. In addition, in the last section, a supergroup associate...

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