arXiv math.RTの新着論文5本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-07-08/

1. Dual imaginary vectors, tight monomial cones and quantum Frobenius morphism
2. Commutativity of nilpotent cohomological Hall algebras of $\mathbf{A}^2$
3. Inner Products and Banach Algebra structures on Bicomplex Numbers and Their Associated Spaces
4. Brauer groups of resolved quiver moduli via gerbes
5. Convergent realizations of Lie subalgebras

arXiv math.RTの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-07-07/

1. Presenting restricted Steinberg modules of general linear groups
2. A note on the submonoids of the tied-symmetric monoid containing the symmetric group
3. Associated graded modules of mixed Hodge modules on quivers and preprojective K-theoretic Hall algebra
4. Uniqueness of Branching through regular unipotent elements
5. Affine cellular algebras and asymptotic algebras
6. Spherical subgroups in reductive algebraic groups
7. Quantized Howe-type dualities via Koornwinder polynomials and the X=K phenomenon
8. Category $\mathcal{O}$ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety
9. Piecewise Symmetric Tensors
10. Theta correspondence as a C*-correspondence
11. Semigroup approach to admissible representations of the infinite symmetric group
12. Computing the continuous symmetries of a parametrized variety
13. A Mackey criterion for locally analytic representations
14. A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial
15. On the number of Frobenius periodic vector bundles on elliptic curves
16. A family of generalized Gelfand pairs attached to $3$-step nilpotent Lie groups

arXiv math.RTの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-07-03/

1. A degenerate Whittaker criterion for $\mathrm GL_{2n}$
2. Euler characters for general linear Lie superalgebra
3. Simple restricted modules over the deformative Schr\"{o}dinger-Virasoro algebra
4. Feigin-Semikhatov duality at the critical level
5. Part bounds for the Sylow permutation characters of $S_n$
6. Hecke operators on symplectic surfaces and $\chi$-independence
7. Degrees of $p$-rational characters and normality of Sylow $p$-subgroups
8. Unitriangular R-matrices of quantum affine algebras and Yangians via Theta series

arXiv math.RTの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-07-02/

1. Central isogenies and conjugacy classes in reductive groups
2. Fukaya categories of Coulomb branches as unique deformations
3. Reductive monoids over general base
4. Pseudo-centralizers in affine Hecke algebras
5. Almost multiplicity-one property of spherical varieties over finite fields
6. Harish-Chandra theories, Ennola $d$-ality and Rouquier blocks for spetses
7. The universal property of strict polynomial functors
8. On the number of extension closed additive subcategories for uniformly oriented $A_n$ quivers
9. Quantum imaginary Schur-Weyl duality
10. Large silting mutation in extriangulated categories
11. Double Transposed Poisson Algebras
12. Semisimple types for quaternionic forms of p-adic classical groups and compatible beta-extensions
13. Directional expansion in ergodic actions of countable groups

arXiv math.RTの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-07-01/

1. An overview of the geometry of Kottwitz-Viehmann varieties
2. Image of Regular Unipotent under a Representation of $\mathrm{GL}_3(\mathbb{C})$
3. On the trilinear and Ginzburg-Rallis models
4. A generalization of partition identities of G\"ollnitz-Gordon, Rogers-Ramanujan and Nandi
5. A lower bound for the Rouquier dimension of derived categories over commutative rings
6. Local-global compatibility at $p\neq\ell$ for torsion automorphic forms
7. Prime spectrum and representations of the super Jordan plane
8. Quantum Stokes matrices and quantum Riemann-Hilbert-Birkhoff maps

arXiv math.RTの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-30/

1. New columns in decomposition matrices of symmetric groups for every block
2. Representations of compatible Lie algebras
3. Quantum Betti geometric Langlands functor
4. Ideal $n$-cotorsion pairs in Frobenius extriangulated categories
5. On the structure of the singular triplet monoid and its virtual extension
6. Orbits on a product of two flags and a line and the Bruhat order, II
7. The Dolbeault geometric Langlands correspondence for type A groups beyond the elliptic locus
8. The heat-kernel master field on $\mathbb{Z}^d$ at strong coupling
9. Three-Dimensional Real Affine Lie Groups
10. Deformation theory of the Double Affine Hecke algebra of type $(C_n^\vee,C_n)$
11. Bessel Distributions and Kloosterman Sums

arXiv math.RTの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-29/

1. Representations of infinite species
2. The representations of the Lie superalgebra $p(3)$ in characteristic 3
3. The brick chain complexity of an artin algebra
4. Average divisibility in character tables of $\mathrm{GL}_2(\mathbb{F}_q)$
5. Stability of the exterior cube $\gamma$-factors for $\mathrm{GL}(6)$
6. On $U(\mathfrak{h})$-free modules of finite rank over $\mathfrak{sl}(2)$
7. Enumerating matrices with prescribed entries in an adjoint orbit
8. Coordinate projections of $c$-vectors of cluster algebras from the annulus
9. On Franke's theorem in the simplest case
10. Zonal Spherical Functions of Quantum Symmetric Pairs
11. Shirokov realizations of low dimensional Lie algebras

arXiv math.RTの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-26/

1. Hochschild (co)homology and cyclic homology via a graded Euler characteristic with applications to higher preprojective algebras
2. Quantum Harish-Chandra bimodules at roots of unity and affine Hecke category
3. Brick infinite algebras admit infinitely many non-$\tau$-rigid bricks
4. On some components of $L(\rho)\otimes L(\rho)$ associated with rooted trees for symmetrizable Kac-Moody algebras
5. Graph Isomorphism and Representation Theory
6. $e$-polynomials of character varieties
7. Artin monoids, their homomorphisms and twins
8. On the deformation theory of chiral quantizations
9. Hall Geometry and Auslander-Reiten Quiver

arXiv math.RTの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-25/

1. The tilting property of Whittaker averaged central sheaves
2. Total positivity and symmetric spaces
3. Equivariant Cleft Extensions and Singular Equivalences
4. The representation theory of the wreath product of a finite group with the monoid of all partial functions on a finite set as an EI-category algebra
5. Preprojective algebras and generalisations: A short survey
6. Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups
7. On the Moser trick for Lie subalgebras and foliations
8. Profinite Borel completeness and smooth Artin motives

arXiv math.RTの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-24/

1. Group Permanents of Abelian $p$-Groups and Young Diagrams
2. On the Humphreys-Verma Conjecture for semisimple algebraic groups of rank $2$
3. Weyl's Polarization in Classical Invariant Theory: A Primer, with Worked Examples
4. Interpolating Schur Algebras
5. Chiralization of Quiver Varieties
6. A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra
7. The KdV vacuum operator and its Katz extension
8. Weyl orbit particles
9. General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
10. Non-asphericity of strata of genus-one differentials and stability spaces
11. Irreducible noncommutative quadrics
12. Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories
13. Representations of finite skew braces