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

arXiv math.RTの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-23/

1. Derived equivalence of posets of torsion classes
2. Parabolic induction for modular finite $W$-algebras
3. On Braverman-Kazhdan's asymptotic Hecke algebra for inner forms of $\mathrm{GL}_n$
4. Resolving subcategories for gentle algebras III: Tilting modules for gentle tree algebras
5. Steinberg quotients and Smith-Treumann localization
6. Representation theory of projective Clifford groups via isocategoricality
7. A note on simple-minded systems and weakly simple-minded systems over self-injective algebras
8. Codistinguished abelian subcategories
9. On the action of the center in the $\ell$-adic categorical Langlands program
10. Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $GL(n, q)$
11. Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$
12. Infinite $\tau$-tilting theory
13. A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules
14. A Catalogue of the Lie Amaldi Classification with Structures Identified
15. Cubic Jordan algebras are not a series
16. Recollements of Triangulated Categories and the Singularity Category of a Triangular Matrix Category
17. Quiver Approach to Symmetry Theories
18. Poisson structures of deformed $W$-algebras and classical $W$-algebras
19. The algebraic K-theory of $k[\operatorname{SL}_2(\mathbb{F}_q)]$
20. Semi-integrable almost hyperhermitian structures
21. Group-theoretical property of some integral non-degenerate fusion categories
22. A conjecture on the action of Hecke operators

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/2026-06-19/

1. Hopfological algebra, revisited
2. Convolution algebras associated to representations
3. Stiefel-Whitney classes for symmetric groups
4. Characters of modules over negative rank-2 Borcherds-Kac-Moody Lie algebras
5. Silting t-structures in $Q$-shaped derived categories
6. One-point functions for $C_2$-cofinite VOAs: pseudo-traces and trace spaces of projective modules
7. $K$-Theoretic Obstructions to Linearizing QCA Representations
8. Twisted quantum loop algebras via semi-derived Ringel-Hall algebras
9. Geometric realization of affine bases: the Kronecker quiver case
10. A Riesz-Thorin Approach to the Rapid Decay Property for Free Groups
11. Nijenhuis Lie $2$-algebras
12. Cohomology of $\mathbf{GL}_d(\mathbb{F})$ in non-defining characteristic via the quantum schur algebra
13. Symplectic duality for the constant term of the geometric Eisenstein series

arXiv math.RTの新着論文4本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-18/

1. Simple gradable $\mathbb{C}\lbrack\mathtt{h}\rbrack$-torsion free $\mathfrak{sl}_2$-modules
2. Symmetric and Isotypic Hilbert Series for Symmetric Ideals
3. Schneider--Teitelbaum Duality over a Non-spherically Complete Field
4. Classical freeness of $\widehat{\mathfrak{sl}}_n$ at level $1$ via combinatorics

arXiv math.RTの新着論文6本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-17/

1. Spectral Intertwining Operators
2. The iterated geometric Green's formula
3. Radon transform for $GL_n(\mathbb{F}_q)$
4. Non-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebras
5. Skew column RSK dynamics and the box-ball system
6. Congruences of shifted Jack Littlewood-Richardson coefficients

arXiv math.RTの新着論文26本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-06-16/

1. A classification of derived-discrete graded algebras
2. Shalika Models for Finite General Linear and Unitary Groups
3. Quiver representations and idempotent loops
4. Cohen Macaulay modules and positroid varieties
5. Mutations of simple-minded collections revisited
6. The Coxeter transformation as an automorphism of the Tamarkin--Tsygan calculus
7. Noncommutative resolutions of affine Schubert varieties in type A and canonical bases
8. On reduction and gluing technique of simple-minded systems over self-injective algebras
9. A construction of simple-minded systems over domestic Brauer graph algebras II: the 1-domestic case
10. Monoidal categorification of generalized cluster algebras and conjectures of Fraser and Gleitz
11. Right representations of Novikov algebras
12. Homomorphisms to Hook Specht Modules over Quiver Hecke Algebras of Type C
13. Multisymmetric polynomials on set-theoretic quiver representations
14. Cohomology of Flag Superschemes and Syzygies of Compositional Varieties
15. A skew Murnaghan--Nakayama rule for Hopf dual pairs
16. The Opdam-Cherednik kernel is the Laplace transform of a positive measure
17. A Generalization of UQ Rings
18. K-theoretic construction of affine quantum Schur algebras and iquantum groups with unequal parameters
19. On the number of symmetric chain decompositions of the minuscule lattices $L(m,n)$ and $M(n)$
20. An Algebraic Matrix Spencer Theorem
21. Torsors of Generalized del Pezzo Tori and Brauer Groups
22. $q$-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
23. On the Representation Theory of Non-Admissible $W$-Algebras: Part I
24. A diffeological perspective on non-Abelian Hodge theory
25. Bounded Bruhat intervals and affine Coxeter groups
26. Grassmannian quantum cohomology in the infinite limit and total positivity