Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Topley, Lewis"'
Autor:
Tappeiner, Lukas, Topley, Lewis
In this paper we introduce the shifted twisted Yangian of type {\sf AI}, following the work of Lu--Wang--Zhang, and we study their semiclassical limits, a class of Poisson algebras. We demonstrate that they coincide with the Dirac reductions of the s
Externí odkaz:
http://arxiv.org/abs/2406.05492
Let $Y_2$ be the Yangian associated to the general linear Lie algebra $\mathfrak{gl}_2$, defined over an algebraically closed field $\mathbbm{k}$ of characteristic $p > 0$. In this paper, we study the representation theory of the restricted Yangian $
Externí odkaz:
http://arxiv.org/abs/2403.18727
A distinguished family of completely prime primitive ideals in the universal enveloping algebra of a reductive Lie algebra ${\mathfrak g}$ over ${\mathbb C}$ are those ideals constructed from one-dimensional representations of finite $W$-algebras. We
Externí odkaz:
http://arxiv.org/abs/2311.10603
Autor:
Chaffe, Matthew, Topley, Lewis
In this paper we consider the structure and representation theory of truncated current algebras $\mathfrak{g}_m = \mathfrak{g}[t]/(t^{m+1})$ associated to the Lie algebra $\mathfrak{g}$ of a standard reductive group over a field of positive character
Externí odkaz:
http://arxiv.org/abs/2311.08208
Autor:
Ambrosio, Filippo, Topley, Lewis
The Slodowy slice is a flat Poisson deformation of its nilpotent part, and it was demonstrated by Lehn-Namikawa-Sorger that there is an interesting infinite family of nilpotent orbits in symplectic Lie algebras for which the slice is not the universa
Externí odkaz:
http://arxiv.org/abs/2310.04773
The Feigin--Frenkel theorem states that, over the complex numbers, the centre of the universal affine vertex algebra at the critical level is an infinite rank polynomial algebra. The first author and W.~Wang observed that in positive characteristics,
Externí odkaz:
http://arxiv.org/abs/2305.17765
Autor:
Chaffe, Matthew, Topley, Lewis
In this paper we study an analogue of the Bernstein--Gelfand--Gelfand category $\mathcal{O}$ for truncated current Lie algebras $\mathfrak{g}_n$ attached to a complex semisimple Lie algebra. This category admits Verma modules and simple modules, each
Externí odkaz:
http://arxiv.org/abs/2304.09561
Autor:
Topley, Lewis, Saunders, Neil
Let $G$ be a reductive group satisfying the standard hypotheses, with Lie algebra $\mathfrak{g}$. For each nilpotent orbit $\mathcal{O}_0$ in a Levi subalgebra $\mathfrak{g}_0$ we can consider the induced orbit $\mathcal{O}$ defined by Lusztig and Sp
Externí odkaz:
http://arxiv.org/abs/2112.09923
Autor:
Topley, Lewis
In this paper we study the variety of one dimensional representations of a finite $W$-algebra attached to a classical Lie algebra, giving a precise description of the dimensions of the irreducible components. We apply this to prove a conjecture of Lo
Externí odkaz:
http://arxiv.org/abs/2102.00903
Autor:
Premet, Alexander, Topley, Lewis
Let $G$ be connected reductive algebraic group defined over an algebraically closed field of characteristic $p > 0$ and suppose that $p$ is a good prime for the root system of $G$, the derived subgroup of $G$ is simply connected and the Lie algebra $
Externí odkaz:
http://arxiv.org/abs/2010.10800