Zobrazeno 1 - 10
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pro vyhledávání: '"mathematics - representation theory"'
Autor:
Shtotland, Guy
We study the distinction of the Steinberg representation of a split reductive group $G$ with respect to a split symmetric subgroup $H \subset G$. We do that both over a $p$ adic field and over a finite field. We relate these distinction problems to p
Externí odkaz:
http://arxiv.org/abs/2501.01701
In this paper, we give a complete classification of extensions of finite irreducible conformal modules over rank two Lie conformal algebras.
Externí odkaz:
http://arxiv.org/abs/2501.01870
Autor:
Sviridova, Irina, Silva, Renata A.
We consider a superalgebra with a superinvolution or graded involution $\#$ over a field $F$ of characteristic zero and assume that it is a $PI$-algebra. In this paper, we present the proof of a version of the celebrated hook theorem \cite{SAR} for t
Externí odkaz:
http://arxiv.org/abs/2501.01562
Autor:
Liang, Li-zhi, Wang, Xue-ping
In this article, we deeply reveal the relationship between functions $\theta$ and $\vartheta$ in an overlap function additively generated by an additive generator pair ($\theta$,$\vartheta$). Then we characterize the conditions for an overlap functio
Externí odkaz:
http://arxiv.org/abs/2501.01221
Multi-agent reinforcement learning has emerged as a powerful framework for enabling agents to learn complex, coordinated behaviors but faces persistent challenges regarding its generalization, scalability and sample efficiency. Recent advancements ha
Externí odkaz:
http://arxiv.org/abs/2501.01136
Autor:
Neguţ, Andrei
We generalize the Hernandez-Jimbo category O of representations of Borel subalgebras of quantum affine groups to the case of quantum loop algebras for arbitrary Kac-Moody g (as well as related algebras, such as quantum toroidal gl_1). Moreover, we gi
Externí odkaz:
http://arxiv.org/abs/2501.00724
Autor:
Fu, Chenji
Let $F$ be a non-archimedean local field. Let $\overline{F}$ be an algebraic closure of $F$. Let $G$ be a connected reductive group over $F$. Let $\varphi$ be an elliptic $L$-parameter. For every irreducible representation $\pi$ of $G(F)$ with Fargue
Externí odkaz:
http://arxiv.org/abs/2501.00652
In this paper, we associate a quiver with superpotential to each $d$-angulation of a (unpunctured) marked surface. We show that, under quasi-isomorphisms, the flip of a $d$-angulation is compatible with Oppermann's mutation of (the Ginzburg algebra o
Externí odkaz:
http://arxiv.org/abs/2501.00435
Autor:
Cheong, Wan Keng, Lam, Ngau
Let $\mathfrak{B}_{m|n}(\underline{\boldsymbol{z}})$ be the Gaudin algebra of the general linear Lie superalgebra $\mathfrak{gl}_{m|n}$ with respect to a sequence $\underline{\boldsymbol{z}} \in \mathbb{C}^\ell$ of pairwise distinct complex numbers,
Externí odkaz:
http://arxiv.org/abs/2501.00401
Autor:
He, Weiqiang, Zhang, Yingchun
We construct a cluster algebra structure within the quantum cohomology ring of a quiver variety associated with an $A$-type quiver. Specifically, let $Fl:=Fl(N_1,\ldots,N_{n+1})$ denote a partial flag variety of length $n$, and $QH_S^*(Fl)[t]:=QH_S^*
Externí odkaz:
http://arxiv.org/abs/2501.00394