Zobrazeno 1 - 10
of 2 500
pro vyhledávání: '"17B65"'
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
Publikováno v:
Journal of Algebra (2025) 663: 210-258
It is known that the operads of perm algebras and pre-Lie algebras are the Koszul dual each other and hence there is a Lie algebra structure on the tensor product of a perm algebra and a pre-Lie algebra. Conversely, we construct a special perm algebr
Externí odkaz:
http://arxiv.org/abs/2409.13230
Autor:
Bugajewski, Dawid
In this article, we study the properties of the autonomous superposition operator on the space of formal power series, including those with nonzero constant term. We prove its continuity and smoothness with respect to the topology of pointwise conver
Externí odkaz:
http://arxiv.org/abs/2409.09853
Autor:
Pattanayak, Santosha, Samuel, Preena
In this paper, we consider the mixed tensor space of a $G$-graded vector space where $G$ is a finite abelian group. We obtain a spanning set of invariants of the associated symmetric algebra under the action of a color analogue of the general linear
Externí odkaz:
http://arxiv.org/abs/2409.02068
Autor:
Chen, Qiu-Fan, Yao, Yu-Feng
In this paper, we study the tensor products of irreducible highest weight modules with irreducible loop modules over the affine-Virasoro algebra with aid of the ``shifting technique" established for the Virasoro algebra in [H. Chen, X. Guo, K. Zhao,
Externí odkaz:
http://arxiv.org/abs/2407.19844
Autor:
Buzaglo, Lucas, Vishwa, Girish S.
Lie algebras formed via semi-direct sums of the Witt algebra $\text{Der}(\mathbb{C}[t,t^{-1}])$ and its modules have become increasingly prominent in both physics and mathematics in recent years. In this paper, we complete the study of (Leibniz) cent
Externí odkaz:
http://arxiv.org/abs/2407.14809
In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem originally established by Ng and Taft in \cite{NT}. Furthermore, by the
Externí odkaz:
http://arxiv.org/abs/2406.12565
Autor:
Azam, Saeid
The behavior of objects associated with general extended affine Lie algebras is typically distinct from their counterparts in affine Lie algebras. Our research focuses on studying characters and Cartan automorphisms, which appear in the study of Chev
Externí odkaz:
http://arxiv.org/abs/2406.04885
In this paper, we consider the tensor product of local Weyl modules for $\mathfrak{sl}_{n+1}[t]$ whose highest weights are multiples of the first and $n^{th}$ fundamental weights. We determine the graded character of these tensor product modules in t
Externí odkaz:
http://arxiv.org/abs/2405.11944
Autor:
Lee, Jae-Ho
The tetrahedron algebra $\boxtimes$ is an infinite-dimensional Lie algebra defined by generators $\{x_{ij} \mid i, j \in \{0, 1, 2, 3\}, i \neq j\}$ and some relations, including the Dolan-Grady relations. These twelve generators are called standard.
Externí odkaz:
http://arxiv.org/abs/2405.05504