Zobrazeno 1 - 10
of 137
pro vyhledávání: '"17B65, 17B66"'
Autor:
Raghavendran, Surya, Yoo, Philsang
Minimal BCOV theory is a classical field theory which describes a subclass of deformations of the category of perfect complexes on a Calabi-Yau variety. We compute minimal models for $L_\infty$-algebras describing minimal BCOV theory and its variants
Externí odkaz:
http://arxiv.org/abs/2410.11837
Autor:
Petrogradsky, Victor
We describe old and prove new results on properties of the Fibonacci Lie algebra in a self-contained exposition. First, we study the growth of this algebra in more details. So, we show that the polynomial behaviour of the growth function in not unifo
Externí odkaz:
http://arxiv.org/abs/2410.08832
Autor:
Janssens, Bas, Niestijl, Milan
Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations $(\overline{\rho}, \mathcal{H})$ of the Lie group $\mathrm{Diff}_c(M)$ of compactly supported diffeomorphisms of a smooth manifold $M$ that
Externí odkaz:
http://arxiv.org/abs/2404.06110
We prove that the Fibonacci Lie algebra and the related just infinite self-similar Lie algebra are not finitely presented.
Externí odkaz:
http://arxiv.org/abs/2402.16098
Toroidal Lie algebras are $n$ variable generalizations of affine Kac-Moody Lie algebras. Full toroidal Lie algebra is the semidirect product of derived Lie algebra of toroidal Lie algebra and Witt algebra, also it can be thought of $n$-variable gener
Externí odkaz:
http://arxiv.org/abs/2312.06325
Autor:
Chakraborty, Priyanshu
We study irreducible modules for map Heisenberg-Virasoro algebras. In particular, we give a complete classification of irreducible Harish-Chandra modules for map Heisenberg-Virasoro algebras. We will also classify non-weight irreducible modules for m
Externí odkaz:
http://arxiv.org/abs/2311.02635
Autor:
Bakalov, Bojko, Wang, Ju
For any cocommutative Hopf algebra $H$ and a left $H$-module $V$, we construct an operad $\mathcal{P}^{cl}_H(V)$, which in the special case when $H$ is the algebra of polynomials in one variable reduces to the classical operad $\mathcal{P}^{cl}(V)$.
Externí odkaz:
http://arxiv.org/abs/2307.16388
Autor:
Xue, Yaohui, Zhao, Kaiming
Let $\delta=0$ or $\frac{1}{2}$. In this paper, we introduce the Fermion algebra $F(\delta)$ and the Fermion-Virasoro algebra $\mathcal S(\delta)$. They are infinite-dimensional Lie superalgebras. All simple smooth $F(\delta)$-modules, all simple wei
Externí odkaz:
http://arxiv.org/abs/2306.15250
Autor:
Tarasca, Nicola
We construct spaces of coinvariants at principally polarized abelian varieties with respect to the action of an infinite-dimensional Lie algebra. We show how these spaces globalize to twisted $\mathcal{D}$-modules on moduli of principally polarized a
Externí odkaz:
http://arxiv.org/abs/2301.13227
Publikováno v:
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , 2024, 154(2), 483 - 493
With the $\Omega$-operators for the Virasoro algebra \cite{BF} and the super Virasoro algebra in \cite{CL, CLL}, we get the $\Omega$-operators for the Ovsienko-Roger superalgebras in this paper and then use it to classify all simple cuspidal modules
Externí odkaz:
http://arxiv.org/abs/2205.07509