Jet modules for the centerless Virasoro-like algebra
نویسندگان
چکیده
منابع مشابه
Lie triple derivation algebra of Virasoro-like algebra
Let $mathfrak{L}$ be the Virasoro-like algebra and $mathfrak{g}$ itsderived algebra, respectively. We investigate the structure of the Lie triplederivation algebra of $mathfrak{L}$ and $mathfrak{g}$. We provethat they are both isomorphic to $mathfrak{L}$, which provides twoexamples of invariance under triple derivation.
متن کاملOn Indecomposable Modules over the Virasoro Algebra
It is proved that an indecomposable Harish-Chandra module over the Virasoro algebra must be (i) a uniformly bounded module, or (ii) a module in Category O, or (iii) a module in Category O, or (iv) a module which contains the trivial module as one of its composition factors.
متن کاملA Centerless Virasoro Algebra of Master Symmetries for the Ablowitz–Ladik Hierarchy
We show that the (semi-infinite) Ablowitz–Ladik (AL) hierarchy admits a centerless Virasoro algebra of master symmetries in the sense of Fuchssteiner [Progr. Theoret. Phys. 70 (1983), 1508–1522]. An explicit expression for these symmetries is given in terms of a slight generalization of the Cantero, Moral and Velázquez (CMV) matrices [Linear Algebra Appl. 362 (2003), 29–56] and their action on ...
متن کاملWhittaker Modules for the Twisted Heisenberg-virasoro Algebra
We define Whittaker modules for the twisted Heisenberg-Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple Whittaker modules by central characters.
متن کاملA centerless representation of the Virasoro algebra associated with the unitary circular ensemble
Abstract. We consider the 2-dimensional Toda lattice tau functions τn(t, s; η, θ) deforming the probabilities τn(η, θ) that a randomly chosen matrix from the unitary group U(n), for the Haar measure, has no eigenvalues within an arc (η, θ) of the unit circle. We show that these tau functions satisfy a centerless Virasoro algebra of constraints, with a boundary part in the sense of Adler, Shiota...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2019
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498819500026