Zobrazeno 1 - 10
of 1 498
pro vyhledávání: '"17B67"'
Autor:
Li, Fengchang
We research $U_{v}(A(0,2)^{(4)})^{+}$ defined by quantum Serre relations, when $v$ is not a root of unity. We prove that $U_{v}(A(0,2)^{(4)})^{+}$ is isomorphic to a Nichols algebra. In other words, it is equivalent to define $U_{v}(A(0,2)^{(4)})^{+}
Externí odkaz:
http://arxiv.org/abs/2410.04502
Autor:
Bisht, Pradeep, Batra, Punita
In this paper, we study the irreducible objects of the category Cf in of integrable representations for Map full Toroidal Lie algebras with finite dimensional weight spaces. These representations turn out to be single point evaluation modules and hen
Externí odkaz:
http://arxiv.org/abs/2410.04495
Autor:
Teja, G. Krishna
Fix any complex Kac-Moody Lie algebra $\mathfrak{g}$, and Cartan subalgebra $\mathfrak{h}\subset \mathfrak{g}$. We study arbitrary highest weight $\mathfrak{g}$-modules $V$ (with any highest weight $\lambda\in \mathfrak{h}^*$, and let $L(\lambda)$ be
Externí odkaz:
http://arxiv.org/abs/2409.12802
We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl(3) to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-category for quantum gl(3), categorifying the evaluation map between the
Externí odkaz:
http://arxiv.org/abs/2409.10434
We consider the affine Lie algebra $\widehat{\mathfrak{sl}_2}$ and the Kostant-Kumar submodules of tensor products of its level 1 highest weight integrable representations. We construct crystals for these submodules in terms of the charged partitions
Externí odkaz:
http://arxiv.org/abs/2409.09328
Autor:
Iohara, K., Saito, Y.
In this note, after recalling a proof of the Macdonald identities for untwisted affine root systems, we derive the Macdonald identities for twisted affine root systems.
Externí odkaz:
http://arxiv.org/abs/2409.07317
Autor:
Lautenbacher, Robin, Köhl, Ralf
Given the maximal compact subalgebra $\mathfrak{k}(A)$ of a split-real Kac-Moody algebra $\mathfrak{g}(A)$ of type $A$, we study certain finite-dimensional representations of $\mathfrak{k}(A)$, that do not lift to the maximal compact subgroup $K(A)$
Externí odkaz:
http://arxiv.org/abs/2409.07247
Autor:
Jiang, Cuipo, Song, Jingtian
In this paper we first prove that the maximal ideal of the universal affine vertex operator algebra $V^k(sl_n)$ for $k=-n+\frac{n-1}{q}$ is generated by two singular vectors of conformal weight $3q$ if $n=3$, and by one singular vector of conformal w
Externí odkaz:
http://arxiv.org/abs/2409.03552
Let $G(\mathbb{Q})$ be a simply connected Chevalley group over $\mathbb{Q}$ corresponding to a simple Lie algebra $\mathfrak g$ over $\mathbb{C}$. Let $V$ be a finite dimensional faithful highest weight $\mathfrak g$-module and let $V_\mathbb{Z}$ be
Externí odkaz:
http://arxiv.org/abs/2408.16895
Autor:
Coquereaux, Robert
Publikováno v:
In: Flandrin, P., Jaffard, S., Paul, T., Torresani, B. (eds) Theoretical Physics, Wavelets, Analysis, Genomics. An Indisciplinary Tribute to Alex Grossmann. Applied and Numerical Harmonic Analysis. Birkh\"auser, Cham. 2023
After recalling the notion of higher roots (or hyper-roots) associated with "quantum modules" of type $(G, k)$, for $G$ a semi-simple Lie group and $k$ a positive integer, following the definition given by A. Ocneanu in 2000, we study the theta serie
Externí odkaz:
http://arxiv.org/abs/2409.02926