Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Stafford, J. T."'
Autor:
Brown, K. A., Stafford, J. T.
The Hopf algebra $\mathcal{D}$ which is the subject of this paper can be viewed as a Drinfeld double of the bosonisation of the Jordan plane. Its prime and primitive spectra are completely determined. As a corollary of this analysis it is shown that
Externí odkaz:
http://arxiv.org/abs/2301.04428
Let $V$ be a symmetric space over a connected reductive Lie algebra $G$, with Lie algebra $\mathfrak{g}$ and discriminant $\delta\in \mathbb{C}[V]$. A fundamental object is the invariant holonomic system $\mathcal{G} =\mathcal{D}(V)\Big/ \Bigl(\mathc
Externí odkaz:
http://arxiv.org/abs/2109.11387
Let $G$ be a reductive complex Lie group with Lie algebra $\mathfrak{g}$ and suppose that $V$ is a polar $G$-representation. We prove the existence of a radial parts map $\mathrm{rad}: \mathcal{D}(V)^G\to A_{\kappa}$ from the $G$-invariant differenti
Externí odkaz:
http://arxiv.org/abs/2109.11467
One of the major open problems in noncommutative algebraic geometry is the classification of noncommutative projective surfaces (or, slightly more generally, of noetherian connected graded domains of Gelfand-Kirillov dimension 3). In a companion pape
Externí odkaz:
http://arxiv.org/abs/2107.01991
In the ongoing programme to classify noncommutative projective surfaces (connected graded noetherian domains of Gelfand-Kirillov dimension three) a natural question is to determine the minimal models within any birational class. In this paper we show
Externí odkaz:
http://arxiv.org/abs/1807.09889
One of the major open problems in noncommutative algebraic geometry is the classification of noncommutative projective surfaces (or, slightly more generally, of noetherian connected graded domains of Gelfand-Kirillov dimension 3). Earlier work of the
Externí odkaz:
http://arxiv.org/abs/1603.08128
Autor:
Levasseur, T., Stafford, J. T.
Publikováno v:
Compositio Math. 153 (2017) 678-716
We study the interplay between the minimal representations of the orthogonal Lie algebra $\mathfrak{g}=\mathfrak{so}(n+2,\mathbb{C})$ and the \emph{algebra of symmetries} $\mathscr{S}(\Box^r)$ of powers of the Laplacian $\Box$ on $\mathbb{C}^{n}$. Th
Externí odkaz:
http://arxiv.org/abs/1508.01664
We develop a ring-theoretic approach for blowing up many noncommutative projective surfaces. Let T be an elliptic algebra (meaning that, for some central element g of degree 1, T/gT is a twisted homogeneous coordinate ring of an elliptic curve E at a
Externí odkaz:
http://arxiv.org/abs/1308.2216
Publikováno v:
Algebra Number Theory 9 (2015) 2055-2119
One of the major open problems in noncommutative algebraic geometry is the classification of noncommutative surfaces, and this paper resolves a significant case of this problem. Specifically, let S denote the 3-dimensional Sklyanin algebra over an al
Externí odkaz:
http://arxiv.org/abs/1308.2213
Autor:
Gordon, I. G., Stafford, J. T.
Publikováno v:
Journal of Algebra 399C (2014), pp. 102-130
We provide a framework for part of the homological theory of Z-algebras and their generalizations, directed towards analogues of the Auslander-Gorenstein condition and the associated double Ext spectral sequence that are useful for enveloping algebra
Externí odkaz:
http://arxiv.org/abs/1302.6640