arXiv math.RT Representation Theory
@mathRTb
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Unofficial bot by @vela with https://t.co/qRyAuN2QxC. @mathMPb @mathNAb @mathNTb @mathOAb @mathOCb @mathPRb @mathQAb @mathRAb @mathSGb @mathSPb ...
Joined April 2013
Zhiyuan Deng, Yutian Sun: Asymptotic Expansion for Expanding Spherical Averages in Real ... https://t.co/pG6XyDMSRO
https://t.co/7RyXR5As3D
arxiv.org
This paper develops precise asymptotic formulas for expanding non-spherical averages on compact quotients of real rank-one Lie groups, focusing on $SO(n,1)$ as a model case. Using tools from...
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c, et al.: Center of the affine $\mathfrak{gl}_{n|1}$ at the critical lev... https://t.co/Z7ZPo9qHwa
https://t.co/MwlNiJMyGO
arxiv.org
We prove that the center of the affine Lie algebra $\widehat{\mathfrak{gl}}_{n|1}$ at the critical level is generated by the coefficients in the expansion of the pseudo-differential operator...
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Coconet, Todea: Reduction theorems for a conjecture on basis in source algebra... https://t.co/IxAT5QGtwd
https://t.co/jhg1LKf4lI
arxiv.org
The aim of this short research note is to present some results about a conjecture of Barker and Gelvin claiming that any source algebra of a block of a finite group has the unit group containing a...
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Malihe Yousofzadeh: Admissible modules over affine Lie superalgebras: The final st... https://t.co/jjFVHp1oY6
https://t.co/MP9RpVJHXq
arxiv.org
Over the past three decades, there have been several attempts to characterize modules over affine Lie superalgebras. One of the main issues in this regard is dealing with zero-level modules. In...
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Zhichao Chen: Log-concavity and unimodality of cluster monomials of type $A_3$ https://t.co/AQbJBZ9ZSK
https://t.co/hGVvGk0hOS
arxiv.org
The log-concavity of cluster variables of type $A_n$ and cluster monomials of type $A_2$ was established by Chen-Huang-Sun. It is still a conjecture for the cluster monomials of higher rank. In...
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Grantcharov, Nguyen, Zhao: A family of simple $U(\mathfrak{h})$-free modules of rank 2 ov... https://t.co/5XAp0riQHy
https://t.co/m3E4ERUJgn
arxiv.org
We study simple $\mathfrak{sl}(2)$-modules over $\mathbb C$ that are free of finite rank as $U(\mathfrak h)$-modules, where $\mathfrak h$ is a Cartan subalgebra of $\mathfrak{sl}(2)$. Our main...
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Zhang, Wang: Further results on fuzzy negations and implications induced by... https://t.co/gGD739jC3U
https://t.co/4Ju0DmTlf2
arxiv.org
In this article, we deeply investigate some properties of fuzzy negations induced from fuzzy conjunctions (resp. disjunctions), which are then applied to characterizing the fuzzy negations. We...
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[2026-01-30 Fri (UTC), 7 new articles found for mathRT Representation Theory]
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omez, et al.: Geometric purity and the frame of smashing ideals https://t.co/vmHed5X8Ao
https://t.co/PmyTUFb3NY
arxiv.org
We introduce the notion of geometric purity in rigidly-compactly generated tt-categories by considering exact triangles that are pure at each tt-stalk. We develop a systematic study of this...
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Chan, Qadri: An inductive Ext non-vanishing theorem for the $p$-adic genera... https://t.co/28L3wQCElV
https://t.co/LdB56WKSWZ
arxiv.org
We study some homological properties of the parabolic induction functor for the $p$-adic general linear group. We obtain an embedding theorem of Ext-groups in the context of parabolic induction....
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Jean-Yves Ducloux: The Orbit Method and Character Formulas for Tempered represent... https://t.co/obd3w0G4E3
https://t.co/wruUIaMzId
arxiv.org
Let G be a possibly disconnected reductive real Lie group. In this paper, I parametrize the set of irreductible tempered characters of G. I then describe these characters using certain...
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Jan Frahm, et al.: On the degenerate principal series of $G_{2(2)}$ induced from ... https://t.co/Ad5I1oBrnS
https://t.co/HliyIg4uFa
arxiv.org
We study degenerate principal series representations of the split real group $G_{2(2)}$ induced from a character of a maximal parabolic subgroup whose unipotent radical is a Heisenberg group....
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[2026-01-29 Thu (UTC), 4 new articles found for mathRT Representation Theory]
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James Drummond, et al.: Tropical symmetries of cluster algebras https://t.co/WdsgZW5ilf
https://t.co/XvRgvKvQbU
arxiv.org
We study tropicalisations of quasi-automorphisms of cluster algebras and show that their induced action on the g-vectors can be realized by tropicalising their action on the homogeneous $\hat{y}$...
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\'Elie Casbi: Triangulated monoidal categorifications of finite type cluster... https://t.co/ywtEkp2l7r
https://t.co/F3ke6C9xme
arxiv.org
We propose a framework of monoidal categorification of finite type cluster algebras involving triangulated monoidal categories. Namely, given a Dynkin quiver $Q$, we consider the bounded homotopy...
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Song, Zhang: Representations of quantum symmetric pairs at roots of unity https://t.co/zyOxmu3dGe
https://t.co/FKRUSDJOBy
arxiv.org
Let $θ$ be an involution of a complex semisimple Lie algebra $\mathfrak{g}$ and $(\mathrm{U}_v,\mathrm{U}^\imath_v)$ be the associated quantum symmetric pair at an odd root of unity $v$. In...
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Creedon, Mazorchuk: Kostant's problem for permutations of shape $(n-2,1,1)$ and $(... https://t.co/mGXNGuMrMX
https://t.co/Xt3fYeVdQq
arxiv.org
For a permutation $z$ in the symmetric group $\mathrm{S}_{n}$, denote by $L_{z}$ the corresponding simple highest weight module in the principal block of the BGG category $\mathcal{O}$ for the Lie...
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Abdelhamid Amroun: On the distribution of the periods of convex representations II https://t.co/sV0ZTyi8kn
https://t.co/4a0r6mrF4i
arxiv.org
Let $ρ: Γ\longrightarrow G$ be a Zariski dense irreducible convex representation of the hyperbolic group $Γ$, where G is a connected real semisimple algebraic Lie group. We...
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[2026-01-28 Wed (UTC), 5 new articles found for mathRT Representation Theory]
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Frank L\"ubeck: Representations with the same degree https://t.co/c3uggUUsOS
https://t.co/u4dcv5Eipz
arxiv.org
In this short note we show that every connected reductive simply-connected algebraic group of rank $>1$ over the complex numbers has infinitely many pairs of irreducible representations which are...
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