プレプリどんどん: math.RT

arXiv math.RTの新着論文20本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-06/

1. The Benson--Etingof--Ostrik conjecture for finite tensor categories
2. Chromatic characters and root multiplicities for Borcherds--Kac--Moody algebras
3. On the $K$-types of certain families of unitary highest weight representations of Hermitian Lie groups
4. Combinatorics of Mirkovi\'c-Vilonen cycles in twisted affine Grassmannians
5. simple cartan-free modules of finite rank over the super-virasoro algebras
6. Characters of $F_4(\mathbb{C})$ at involutions
7. A quiver presentation of the type D arc algebras and intrinsic formality of $\mathbb{D}_4$
8. Calculating double-leaf coefficients in the Hecke category
9. Tempered Symplectic Distinction For Quaternionic $GL_n(D)$: A Conjecture of PRASAD
10. Tao-Travkin equivalence revisited
11. Classification of reductive monoids
12. Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras
13. A Morris recursion rule for values of the spin characters of wreath products
14. The Brou\'e invariant of a Morita equivalence with an endopermutation source
15. Finite-dimensional Lie subalgebras of the universal enveloping algebra of $\mathfrak{sl}(2,\mathbb{C})$
16. Moments and Large Geometric Monodromy for Linearly Constrained Kloosterman Families
17. Restrictions of the dot action representation
18. The commuting scheme of $\mathfrak{g}_2$
19. Automorphic commutator relations in relative geometric Langlands
20. Braid group invariance of quantum tori and applications

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/2026-10-05/

1. Parabolic induction for Takiff algebras and character formulas in Chari's category $\widetilde{\mathcal{O}}$
2. Maximal graded subalgebras of simple vectorial Lie superalgebras with polynomial coefficients
3. Maximal subalgebras in the three exceptional simple finite-dimensional Lie superalgebras
4. Uniform Computability of Isotypic Block Diagonalization for Finite-Group Representations
5. Equivariant Poincar\'e polynomial of type B Wonderful Models
6. Ample stability implies rigidity for quiver moduli
7. Robustness of quantum spectrum estimation: weak Schur sampling under noisy inputs
8. Lie Algebraic Uncertainty Relations

arXiv math.RTの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-02/

1. Self-Orthogonal $\tau$-Tilting Modules and Tilting Modules III: Finitistic Dimension
2. A characterization of triangulated structures induced by premutation triples
3. Explicit Transgression Primitives on Flag Manifolds
4. Magnitude of module categories and special biserial algebras
5. Big Finitistic Dimensions of Radical-Cube-Zero Algebras
6. Endomorphism algebras of Gorenstein-projective modules over string algebras
7. Homology and higher-order intermediate categories for proper abelian subcategories
8. Central algebraic cohomology of Galois gerbes
9. Harmonic Norms on Quiver Representations over Non-Archimedean Fields
10. Rotation fixed points of undecorated braid varieties and fusion rings of affine Lie algebras
11. Quantum gates from the middle convolution of twisted Burau representations
12. Seven Coincidences and Sixty Symmetries
13. Translation invariant quadratic forms in $8$ variables and dense sets of primes
14. The crystal groupoid of a compact semisimple Lie group and its flag varieties
15. Ordinary modules for affine vertex operator superalgebras
16. Ideals of homomorphic images of the enveloping algebra of the Witt algebra
17. Quasi-modularity of $q$-traces and integrals over Hilbert schemes

arXiv math.RTの新着論文18本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-10-01/

1. Symmetric spaces and skew multiplicity free representations
2. Normalization graphs and Dold-Kan equivalences for generalized Reedy categories
3. Higher Cotorsion Pairs on Image-Nilpotent \(\eta\)-Extensions
4. Relative Derived Delooping Levels and $\tau$-Tilting Modules
5. Singularities of orbit closures in loop spaces of symmetric varieties II: twisted cases
6. Unequal-parameter Kostka--Foulkes polynomials of type $C_n$ at fundamental weights
7. Duality functors for Coulomb branches I
8. Tilting mutation of gentle algebras and its combinatorial description
9. On Irreducibility and Multiplicity One Property for Non-Archimedean Type-II Theta Lifting
10. Unipotent representations and the categorical trace of Frobenius
11. Tensor Product Does Not Behave Additively on Delooping Level
12. Lower affine MV polytopes of rank 2
13. Para families of orthogonal polynomials
14. Grassmannian tree webs and cluster variables
15. Orthogonal Model Structures
16. Quivers variety for affine orthogonal quiver
17. A mixing time method for estimating the sample complexity of quantum state discrimination
18. Exact sequences of representation categories of weak Hopf algebras

arXiv math.RTの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-30/

1. Counterexamples and gap phenomena for derived delooping levels
2. Relative Suspension and Higher Delooping for Support $\tau$-Tilting Modules
3. Complexes of modules over hierarchical groups
4. Dirac operators for Cartan motion groups
5. Absolutely irreducible modules via James triples
6. A Galois-equivariant Dade-Glauberman-Nagao correspondence with central defect
7. Asymptotics for number of indecomposable components of tensor powers of the natural $\mathrm{SL}_2$-module in odd characteristic
8. Diagrammatic bases from stratified normalization
9. A Note on Universal Positivity of Rank-Two Quantum Greedy Elements
10. Characteristic-free Kn\"orrer periodicity
11. Absolute moved spaces and noncrossing partition posets in arbitrary Coxeter groups
12. Euclidean modules, submodules of their direct sums and strong reduced echelon form

arXiv math.RTの新着論文29本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-29/

1. Gorenstein cotorsion pairs induced by balanced pairs
2. Torsion proliferation
3. Classification of \(U(\mathfrak h)\)-Free Modules over the Heisenberg-Virasoro type Lie superalgebra via Polynomial Shift Operators
4. Rootwise estimates for Weyl alternants
5. Symmetric Branching via Laurent Phenomenon Algebras
6. On the number of $\ell$-regular conjugacy classes
7. Finiteness properties of profinite blocks and blocks with defect group $\mathbb Z_p^n$
8. Derived Delooping Levels of One-Point Extensions and Finitistic Dimensions
9. Well-tempered symmetric spaces
10. Nonunimodal principal spectra of Frobenius parabolic Lie algebras
11. Block Relations and Clifford Theory for H-Triples
12. Explicit $H_3$ relation in the diagrammatic Hecke category
13. Quasi-cellular categories and the structure of the Brauer category
14. On Representations of $\mathrm{GL}_n(\mathrm{D})$ admitting a generalized linear period
15. Bounded functor cohomology and comparison theorem
16. The fields generated by character values of linear and unitary groups
17. A proof of Frenkel's bound for the hyperbolic Kac-Moody Lie Algebra A_1^++
18. Keller's conjecture for split finite-dimensional algebras
19. Jordan induction for $\mathrm{GL}_n(\mathcal{O})$
20. Automorphic $C^*$-algebras of reductive groups
21. Relative Global Dimension of Controllable Extensions
22. Grothendieck rings of pivotal fusion categories of rank four
23. Classical freeness of affine vertex algebras of $\mathfrak{sl}_2$ at boundary admissible levels
24. A Reduction Theorem for the Alperin-McKay-Navarro Conjecture
25. Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations
26. Exceptional poles of archimedean Asai $L$-functions
27. Higher orthogonality and truncation in canonical pretriangulated quotients
28. Structure of derived Hecke algebras with coefficients in torsion-free profinite rings
29. Equivariant multiplicities and torsion at attractive fixed points

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/2026-09-28/

1. Generating Functions for Casimir Invariants of Simple Lie Algebras
2. Quasi-equivalence of relabeled positroid cluster structures
3. A Proof of the Second brick-Brauer-Thrall Conjecture for $E$-infinite algebras
4. Demazure Models of Algebraic Tori in Dimension 4
5. Special Cohen--Macaulay sheaves on partial resolutions of rational surfaces singularities
6. A derived Chouinard's theorem for infinite groups

arXiv math.RTの新着論文7本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-25/

1. The Tambara-Yamagami calculus and finite semigroups
2. Quiver Bases of Cartan Squares of Minuscule Representations
3. A Cotangent Model for the Next-to-Minimal Orbit of E7
4. Ringel self-duality of hereditary algebras via Auslander-Reiten theory
5. Specht ideals for the imprimitive complex reflection group $G(r,1,n)$: geometric orbit types and a dominance theorem
6. On vanishing and Hausdorffness of asymptotic cohomology
7. The crystal of the categorified quantum group

arXiv math.RTの新着論文18本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-24/

1. Reduction Algebras Involving Symplectic Lie Algebras
2. The intersection of local Arthur packets for even orthogonal groups and applications
3. On the normality of the commuting scheme
4. Lifting $A_\infty$-structures through coverings with applications to fractional Brauer graph algebras
5. Degenerations of chain complexes
6. Locally analytic representations in mixed characteristic via stacks
7. Counterexamples to the Reiner-Shimozono conjecture and the failure of Schubert filtrations
8. Endoscopic liftings and parameters of epipelagic representations for classical groups
9. Gabriel Spectrum of Persistence Categories
10. On the inductive Giannelli-McKay condition for sporadic groups
11. On convex bodies with rotationally symmetric planar projections
12. Cosets with constant characteristic polynomial
13. Spherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformations
14. Symmetric group actions on the coordinate ring of the lower unipotent group and the polynomial ring with quantum parameters
15. The Kazhdan-Lusztig category of $\mathfrak{osp}_{1|2n}$ at irrational levels
16. Single-Orbit Recovery of Groups via an Optimization Principle
17. Braidings, duoidal categories and pre-Cartier structures for bi(co)modules
18. Partition functors and universal exponential relations

arXiv math.RTの新着論文20本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-23/

1. An irreducible decomposition of the Weil representation restricted to open compact subgroups
2. Categorical representations of algebraic groups in positive characteristic
3. Monoidal Gr\"obner systems and categories of affine Brauer type
4. A geometric realization of socle-projective categories for posets of type $\mathbb{D}$
5. Indecomposable characters of the wreath product of a torus by the infinite block-diagonal symmetric group
6. Frobenius functors and $n$-torsionfree objects
7. Exact dg structures are classified intrinsically by bi-Serre subcategories
8. On the Twisted Group Ring Isomorphism Problem for isoclinic groups
9. Graded Representation Theory of Equivariant Neural Networks
10. Slash indecomposability of Endopermutation Scott modules
11. The Brauer $A(\infty)$ condition and Navarro's conjecture on Brauer characters under coprime actions
12. Brauer webs of finite and affine type
13. Representation-tame Gei\ss-Leclerc-Schr\"{o}er algebras and a revised GLS conjecture on root systems
14. Multiplicity One Property for Archimedean Theta Correspondence
15. Uniform bounds on the Dunkl kernel
16. Littlewood-Paley theory for orthogonal expansions associated with root systems
17. Finite images of braid group representations and algebraic solutions of KZ-type equations
18. Dunkl theory, convolution algebras, and related Markov processes
19. Refining invariants of finite groups with class functions
20. A graph planar algebra approach to near-group categories