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Results tagged with super-linear-algebra
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user 1306
6
votes
Accepted
Cayley-Hamilton over super rings
The case when $R$ is purely even but the module has a $Z/2$-grading was studied before, see for example
"On the Cayley-Hamilton equation in the supercase" by Issai Kantor and Ivan Trishin, Comm. in A …
- 16.9k
3
votes
Accepted
Alternating elements in free graded-commutative algebras
If you assume $\ell>n$, then you may as well work over the field $F=\mathbb{Q}$, since the representation theory is exactly the same (the group algebra is semisimple, all Young symmetrisers in the gro …
- 16.9k
2
votes
Inner products on super vector spaces
In addition to the other answer, a very good reference on that matter is the book of Yuri Ivanovich Manin "Gauge Field Theory and Complex Geometry", specifically Chapter 3 "Introduction to superalgebr …
- 16.9k