Results 51 to 60 of about 53,900 (153)
Star Product and Invariant Integration for Lie type Noncommutative Spacetimes
, 2007 We present a star product for noncommutative spaces of Lie type, including the so called ``canonical'' case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral.
A. Sykora +13 more
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Functorial constructions related to double Poisson vertex algebras
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source
Lax Integrable Supersymmetric Hierarchies on Extended Phase Spaces
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We obtain via Bäcklund transformation the Hamiltonian representation for a Lax type nonlinear dynamical system hierarchy on a dual space to the Lie algebra of super-integral-differential operators of one anticommuting variable, extended by evolutions of ...
Oksana Ye. Hentosh
doaj
Adjoints in symmetric squares of Lie algebra representations
14 pages. The $\mu = \overline{\nu}$ case of our Theorem 1.3, as well as our Theorem 1.4, already appear in the literature; we added the relevant ...
Floch, Bruno Le, Smilga, Ilia
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Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley +1 more source
Quantum affine transformation group and covariant differential calculus
, 1993 We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators.
Aizawa, N., Sato, H. -T.
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Publications of the Research Institute for Mathematical Sciences, 1975 Let M be a smooth manifold, and 2l(M) the Lie algebra of all smooth vector fields on M. Assume that M admits a volume form T, a symplectic form CD or a contact form 9. Then we have natural Lie subalgebras of 2l(M) as 21T(M), 2l;(M), 9IW(M), 2l;o(M), 210(M) (see §1.1). These Lie algebras including 2l(M) itself are called of classical type.
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Semi-direct products of Lie algebras and their invariants
, 2007 The goal of this paper is to extend the standard invariant-theoretic design, well-developed in the reductive case, to the setting of representation of certain non-reductive groups. This concerns the following notions and results: the existence of generic
Panyushev, Dmitri I.
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G$G$‐typical Witt vectors with coefficients and the norm
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract For a profinite group G$G$ we describe an abelian group WG(R;M)$W_G(R; M)$ of G$G$‐typical Witt vectors with coefficients in an R$R$‐module M$M$ (where R$R$ is a commutative ring). This simultaneously generalises the ring WG(R)$W_G(R)$ of Dress and Siebeneicher and the Witt vectors with coefficients W(R;M)$W(R; M)$ of Dotto, Krause, Nikolaus ...
Thomas Read
wiley +1 more source