Azumaya loci and discriminant ideals of PI algebras

@article{Brown2018AzumayaLA,
  title={Azumaya loci and discriminant ideals of PI algebras},
  author={Kenneth A. Brown and Milen Yakimov},
  journal={Advances in Mathematics},
  year={2018}
}
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24 Citations
Background Citations
9
Methods Citations
3
Results Citations
1

24 Citations

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References

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Poisson geometry of PI 3-dimensional Sklyanin algebras.
We give the 3-dimensional Sklyanin algebras $S$ that are module-finite over their center $Z$ the structure of a Poisson $Z$-order (in the sense of Brown-Gordon). We show that the induced Poisson…
The Poisson geometry of the 3-dimensional Sklyanin algebras
We give the 3-dimensional Sklyanin algebras $S$ that are module-finite over their center $Z$ the structure of a Poisson $Z$-order (in the sense of Brown-Gordon). We show that the induced Poisson…
Rigidity of quadratic Poisson tori
We prove a rigidity theorem for the Poisson automorphisms of the function fields of tori with quadratic Poisson structures over fields of characteristic 0. It gives an effective method for…
Homological Properties of (Graded) Noetherian PI Rings
Abstract Let R be a connected, graded, Noetherian PI ring. If injdim( R ) = n R is Auslander-Gorenstein and Cohen-Macaulay, with Gelfand-Kirillov dimension equal to n . If gldim( R ) = n R is a…
Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
Abstract.To any finite group Γ⊂Sp(V) of automorphisms of a symplectic vector space V we associate a new multi-parameter deformation, Hκ of the algebra ℂ[V]#Γ, smash product of Γ with the polynomial…
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Lectures on Algebraic Quantum Groups
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Quantum Groups
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Quantized Weyl algebras at roots of unity
We classify the centers of the quantized Weyl algebras that are polynomial identity algebras and derive explicit formulas for the discriminants of these algebras over a general class of polynomial…
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