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- W199779719 abstract "Many 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 a basis-independent way. In this thesis we look at a characterization of the Berezinian, given by Deligne and Morgan, in terms of homological algebra. It generalizes the description of the ordinary determinant via the induced action on the top exterior power of a vector space. After introducing super linear algebra, we explain the invariant description, and illustrate it by explicitly working it out for some examples." @default.
- W199779719 created "2016-06-24" @default.
- W199779719 creator A5052322079 @default.
- W199779719 date "2012-10-05" @default.
- W199779719 modified "2023-09-26" @default.
- W199779719 title "Algebraic Aspects of the Berezinian" @default.
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