Cayley-Hamilton theorem for \(2\times 2\) matrices over the Grassmann algebra
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Publication:1295654
DOI10.1016/S0022-4049(97)00184-9zbMath0941.15026MaRDI QIDQ1295654
Publication date: 13 August 2000
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)
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Cites Work
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- Hilbert series of fixed free algebras and noncommutative classical invariant theory
- Supertraces and matrices over Grassmann algebras
- A Hilbert-Nagata theorem in noncommutative invariant theory
- On a concept of determinant in the supercase
- New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings
- The Polynomial Identities of the Grassman Algebra
- Relatively free invariant algebras of finite reflection groups
