The Poincaré series of the ring of 2x2 generic matrices
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Publication:1151950
DOI10.1016/0021-8693(81)90130-7zbMath0459.16013OpenAlexW2065343046MaRDI QIDQ1151950
Patrick Halpin, Wen-Ch'ing Winnie Li, Edward W. Formanek
Publication date: 1981
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(81)90130-7
Related Items (29)
The principal ideal theorem in prime Noetherian rings ⋮ Generic \(2\times 2\) matrices with involution ⋮ A construction of swap or switch polynomials ⋮ New automorphisms of generic matrix algebras and polynomial algebras ⋮ From Hagedorn to Lee-Yang: partition functions of \(\mathcal{N} = 4\) SYM theory at finite \(N\) ⋮ Rationality of Hilbert series in noncommutative invariant theory ⋮ Generators for the ideal of polynomial identities satisfied by 2x2 matrices ⋮ Denominators for the Poincaré series of invariants of small matrices ⋮ Generic \(2\times 2\) matrices in positive characteristic ⋮ Two-dimensional representations of the free group in two generators over an arbitrary field ⋮ Lie automorphisms of the algebra of two generic \(2\times 2\) matrices ⋮ The Hilbert series of rings of matrix concomitants ⋮ Grassmann algebras over finite fields ⋮ Denominators for the Poincaré series of invariants of matrices with involution. ⋮ Polynomial identities for 2\(\times 2\) matrices ⋮ The center of the generic division algebra ⋮ The ring of invariants of matrices ⋮ Burnside-type problems, theorems on height, and independence. ⋮ Normalizing elements of the trace ring of generic matrices ⋮ New polynomial identities for \(2\times 2\) generic matrices in characteristic \(2\) ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. ⋮ Applications of hook Young diagrams to P.I. algebras ⋮ Computing with 2\(\times 2\) matrices ⋮ Homogeneous polynomial identities ⋮ Invariants and the ring of generic matrices ⋮ Codimensions of T-ideals and Hilbert series of relatively free algebras ⋮ The ring of generic matrices. ⋮ On a question concerning generic matrices over the integers ⋮ Homological properties of generic matrix rings
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