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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorHenriques, A.
dc.contributor.authorLamers, J.
dc.date.accessioned2012-10-05T17:01:01Z
dc.date.available2012-10-05
dc.date.available2012-10-05T17:01:01Z
dc.date.issued2012
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/11777
dc.description.abstractMany concepts of linear algebra can be generalized to the Z/2-graded setting, leading to linear superalgebra. Often, a formulation in terms of category theory facilitates this passage, and this e.g. provides an invariant description of the supertrace of an endomorphism T : V → V of a super vector space. However, it is not so straightforward to describe the superdeterminant, also known as Berezinian, in abasis-independent way. In this thesis we look at a characterization of the Berezinian, given by Deligneand Morgan, in terms of homological algebra. It generalizes the description of theordinary determinant via the induced action on the top exterior power of a vectorspace. After introducing super linear algebra, we explain the invariant description,and illustrate it by explicitly working it out for some examples.
dc.description.sponsorshipUtrecht University
dc.format.extent962669 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleAlgebraic Aspects of the Berezinian
dc.type.contentMaster Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsBerezinian, supercommutative algebra, homological algebra
dc.subject.courseuuMathematical Sciences


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