The group of automorphisms of the Jacobian algebra \(\mathbb A_n\).
From MaRDI portal
Publication:418908
DOI10.1016/j.jpaa.2011.07.001zbMath1250.16028arXiv0910.0999OpenAlexW1982418627MaRDI QIDQ418908
Publication date: 30 May 2012
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.0999
Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Automorphisms and endomorphisms (16W20) Jacobian problem (14R15) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Rings of differential operators (associative algebraic aspects) (16S32)
Related Items
The Group of Automorphisms of the Algebra of one-Sided Inverses of a Polynomial Algebra. II ⋮ The global dimension of the algebras of polynomial integro-differential operators 𝕀n and the Jacobian algebras 𝔸n ⋮ K1() and the group of automorphisms of the algebra of one-sided inverses of a polynomial algebra in two variables ⋮ Structure of Leavitt path algebras of polynomial growth
Cites Work
- The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
- The algebra of one-sided inverses of a polynomial algebra.
- The Jacobian algebras.
- Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras
- Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients
- Down-up algebras
- The skew field of rational functions on the quantum plane
- Hochschild homology and cohomology of generalized Weyl algebras.
- Down-up algebras and ambiskew polynomial rings
- *-representations of twisted generalized Weyl constructions
- Pure injective envelopes of finite length modules over a generalized Weyl algebra
- Krull dimension of generalized Weyl algebras with noncommutative coefficients
- Simple holonomic modules over the second Weyl algebra \(A_2\)
- Fixed subrings of Noetherian graded regular rings.
- Locally finite simple weight modules over twisted generalized Weyl algebras.
- Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2
- The Group of Automorphisms of the Algebra of one-Sided Inverses of a Polynomial Algebra. II
- The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic
- THE GROUP OF AUTOMORPHISMS OF THE FIRST WEYL ALGEBRA IN PRIME CHARACTERISTIC AND THE RESTRICTION MAP
- Homological properties of the enveloping algebra U(Sl2)
- Noetherian down-up algebras
- Isomorphism problems and groups of automorphisms for generalized Weyl algebras
- Non-noetherian down-up algebras
- On automorphisms of Weyl algebra
- ISOMORPHISMS BETWEEN QUANTUM GENERALIZED WEYL ALGEBRAS
- Sur les algèbres de Weyl
- Über ganze birationale Transformationen der Ebene.
- Homology of invariants of a Weyl algebra under the action of a finite group
- Generalized Weyl algebras are tensor Krull minimal
- A question of Rentschler and the Dixmier problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The group of automorphisms of the Jacobian algebra \(\mathbb A_n\).