Lie automorphisms of the algebra of two generic \(2\times 2\) matrices
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Publication:1975153
DOI10.1006/jabr.1999.8055zbMath0961.16012OpenAlexW2094493528WikidataQ115395793 ScholiaQ115395793MaRDI QIDQ1975153
Vesselin Drensky, Chander Kanta Gupta
Publication date: 20 November 2000
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1999.8055
Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Trace rings and invariant theory (associative rings and algebras) (16R30)
Related Items (2)
AUTOMORPHISMS OF THE ENVELOPING ALGEBRA OF THE THREE-DIMENSIONAL NILPOTENT LIE ALGEBRA ⋮ Symmetric polynomials of algebras related with 2 × 2 generic traceless matrices
Cites Work
- Limits of tame automorphisms of \(k[x_ 1,\dots ,x_ N\)]
- Computing with 2\(\times 2\) matrices
- Invariants and the ring of generic matrices
- Polynomial representations of \(GL_n\)
- The Poincaré series of the ring of 2x2 generic matrices
- Automorphisms and derivations of abelian extensions of some Lie algebras
- New automorphisms of generic matrix algebras and polynomial algebras
- Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
- New stably tame automorphisms of polynomial algebras
- Non-tame automorphisms of free nilpotent groups
- Automorphisms of Free Nilpotent Lie Algebras
- Polynomial identities for a family of simple jordan algebras
- Trace rings of generic 2 by 2 matrices
- Dense Subgroups of the Automorphism Groups of Free Algebras
- Subalgebras of Free Associative Algebras
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