プレプリどんどん: math.RT

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/2026-09-22/

1. Base change and the Mackey formula in Deligne--Lusztig theory
2. From $\tau$-tilting to $\tau_2$-tilting via splitting tilting triples
3. Maximal proper extremal subset in the crystal basis of a finite-dimensional irreducible module
4. Quantum Satake in Type A: The General and Generic Case
5. Sign components of diagonal superspace coinvariants
6. Local theta correspondence and generalized Shalika models
7. Transferred $L_\infty$-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras
8. Affine Harish-Chandra center in positive characteristic
9. Lift of the Trivial Representation: The Nonsplit Type $D$ Case
10. A bar operation on the double affine Hecke algebra
11. Gauge invariants raised from commutators of unimodular Hopf algebras
12. Nonvanishing of cohomology for groups
13. One-periodic category of twisted complexes, Cohen-Macaulay modules and differential modules
14. A non-spatial frame of smashing ideals
15. Tree Bricks and Finite Tree Automata
16. Local cohomology with Schubert support on compact Hermitian symmetric spaces
17. Unique mutation cycles of nucleus-extension quivers
18. Octonions, Albert vectors and the group ${}^2 \mathrm{E}_6(F)$
19. Counting tangles in coverings of closed 2-orbifolds via ribbon categories
20. Kodaira fibres and wrapped Floer cohomology
21. Quasi-overlap and quasi-grouping functions on bounded pseudo-ordered sets
22. The Auslander--Reiten conjecture for quantum complete intersections
23. Geometry around unramified CM points
24. Algebraic independence of periods of Anderson modules and their hyperderivatives
25. On the inductive blockwise Alperin weight condition for type $\mathsf B$ and type $\mathsf C$
26. Free Immersions in Critical Dimension from Lie Groups

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/2026-09-21/

1. Double flag varieties of Levi type with a finite number of orbits
2. Minuscule Relations in Quantum $K$-Theory of Flag Varieties
3. A Gelfand model for the Okada algebra
4. Categorical Lie-Rinehart modules and Shen-Larsson functors
5. Some freezing limits for Bessel functions and Bessel processes with drift of type $B_N$
6. Eigenvectors of $p$-Curvature for Geometric Difference Equations
7. Structure and Representations of Restricted Lie color triple systems
8. Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
9. An equivariant version of Gabber's lemma
10. Cohomology, Extensions and Deformations of restricted Lie triple systems
11. Projection Constants of Polynomial Spaces via Representation Theory

arXiv math.RTの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-18/

1. Tachikawa's second conjecture implies the Auslander-Reiten conjecture
2. The Arthur-Packet Support Equality for Real Reductive Groups
3. On the Hiraga-Ichino-Ikeda conjecture on formal degrees for $\mathrm{G_2}$
4. A Comparison Theorem for Parahoric Character Sheaves
5. A refined multiplication formula in 2-Calabi-Yau Frobenius extriangulated categories
6. Unitary Branching for $\mathfrak{sl}(m\vert n), \mathfrak{osp}(m\vert 2n)$ and $F(4)$
7. Representations of formal Lie groups and Lie pairs
8. Skein theory and deformations
9. Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$
10. Chow Vanishing and Motives of Cluster Varieties
11. Finite groups with a unique real $2$-block
12. The Serre--Hochschild plane of a finite-dimensional algebra
13. Classification of Automorphism Groups of Smooth Cubic Threefolds and Fourfolds
14. Rogers--Ramanujan identities from the geometry of $X^a=Y^b$

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/2026-09-17/

1. Generalized conformal modules over the Virasoro conformal algebra
2. Support $\tau$-tilting modules over Morita context algebras: A bilateral approximation approach
3. Symmetry breaking differential operators and Discrete Series
4. Monodromy Eigenvectors for Difference Equations with Root-of-Unity Step
5. Vacuum Structure of Maximally Supersymmetric Two-Dimensional Gauge Theories
6. On the singularities and the Kodaira dimension of unitary Shimura varieties
7. Stable Trace Formula for Newton strata of Shimura varieties
8. Wehrl-type entropy problem for compact connected semisimple Lie groups
9. The non-spherical sup-norm problem for $\mathrm{GL}(n)$ and generalized spherical functions

arXiv math.RTの新着論文10本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-16/

1. Loop spaces, twistor $\mathbb P^1$ and tempiric parameters
2. Functions on Nilpotent Orbit Covers and Birational Geometry
3. A tensor square theorem for characters of $\operatorname{GL}_{n}(q)$
4. The Mathieu Property for Compact Connected Lie Groups
5. Local Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrization
6. Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization
7. On Cowling's $L^p$-integrability conjecture for Kunze--Stein groups
8. Modular functoriality for finite groups
9. A classification of finite simply reducible groups of order at most 2000
10. An abelian envelope without the quotient property

arXiv math.RTの新着論文34本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-15/

1. On Donkin's Tilting Module Conjecture IV: New Frontiers
2. One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras
3. Differential calculus on quantized irreducible flag manifolds
4. Simple Harish-Chandra bimodules in positive characteristics
5. The Gaudin model and the super Bethe ansatz for unitarizable modules over the general linear Lie (super)algebra
6. Elementary modules of the generalized Kronecker quivers K(n)
7. Graded Kronecker Modules of Constant Rank
8. Acyclic quantum cluster algebras via Hall algebras associated to cluster categories
9. Igusa--Todorov Algebras and the Auslander--Reiten Conjecture
10. Breaker Chains and Splitting of Interval Submodules in Zigzag Modules
11. On the derived Hall algebra of a graded gentle one-cycle algebra II: Serre presentation
12. New runner removal theorems for the cyclotomic Hecke algebras of type $G(r,1,n)$
13. Quantization of Preprojective Algebras and the Type A Rational Cherednik Algebra
14. Quasiparabolic Gelfand models for finite irreducible Coxeter groups and their canonical Hecke structures
15. On $\boldsymbol{p}$-rationality in double covers of symmetric and alternating groups
16. Virasoro extensions of generalized Kac-Moody algebras
17. Integral quiver presentations for $\mathscr R$-trivial semigroup algebras
18. Interval endomorphism algebras of posets: Reedy structure, combinatorics, and homological theory
19. The coherent KLR sheaf
20. Fusion-stable endosplit $p$-permutation resolutions
21. Stringy invariants for abelian character varieties
22. Constructing Concrete Colour Tensors for Simple Lie Algebras
23. Lieb's Permanental Dominance Conjecture for Ordinary Immanants through Order Fifteen
24. Cutoff for q-deformed classical card shuffles in the type A Iwahori--Hecke algebra
25. Degrees of Fano Quiver Moduli
26. Cyclotomic expansions of colored $SU(n)$ invariants of two-strand torus knots and Bailey transforms
27. Zeros in The Character Table of The Wreath Product of The Symmetric Group
28. Simplicial Complexes of Antichains in Root Posets and Related Combinatorics of Dyck Paths
29. A law of large numbers for Macdonald coherent measures
30. Holomorphic polyvector fields on toric varieties via Klyachko filtrations
31. PHP decompositions and primitivity of group rings for linear groups
32. Geometric Invariant Theory for Affine Superschemes
33. Free and projective LCD codes
34. Laurent Symmetric Functions

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/2026-09-14/

1. Hitchin's Conjecture for $\mathfrak{sl}_n$ in Odd Prime Degree
2. A Coefficient Calculus for Unitary (g,K)-Modules of SU(2,2)
3. Cocenter of Hecke algebras of Kac-Moody groups
4. On a question of Navarro on the field of values of characters of solvable groups
5. Torus actions on compactified braid varieties and polytopality of subword complexes
6. Odd-rank maximal ideals at collapsing levels of type $D$
7. A local approach to a programme of Meierfrankenfeld: initial setting and the symmetric case
8. Affine $\mathfrak{sl}_2$ at admissible levels and quantum $\mathfrak{sl}_{2|1}$
9. Jacquet--Rallis transfer for GL(2)

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/2026-09-11/

1. D-modules and Solvable Lie Foliations
2. The $E_6$ Restricted Hyperplane Arrangement and its $E_7$ Shadow: Weyl Transport on a Minuscule Bruhat Poset
3. Fence Posets, Good Gradings and Frobenius Maximal Parabolics
4. Weak Bruhat interval modules of the 0-Hecke algebras for stable Grothendieck polynomials
5. Quasi-Whittaker supermodules over Lie superalgebras
6. Rankin--Selberg integrals of opposite conductor--one newforms
7. Obstructions to Jacobi-Finiteness of Quivers with Potentials
8. Remarks on the shuffle elements of Iwahori--Hecke algebras
9. On Diagrammatic Categorification of Verma Modules I: Braiding
10. Some finite dimensional representations of shifted quantum affine algebras of type A
11. Gelfand--Tsetlin bases for representations of $\mathrm U_{q}(\mathfrak{gl}_n)$ at roots of unity
12. A closed signature formula for the Katz-Long-Moody Hermitian form

arXiv math.RTの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-09-10/

1. A counterexample to the periodicity conjecture for finite-dimensional algebras
2. Toric degeneration for hybrid qudit spaces
3. Syzygy Transformations of Cluster Characters and Geometric Twists
4. Derived equivalences between diagram categories of finite posets
5. Hybrid Kazhdan-Lusztig basis and parabolic induction
6. Finiteness and growth of brick chain filtrations
7. Cluster Morita theorem for negative cluster categories
8. Distinguished standard modules for $\mathrm{GL}_{2m}(\mathbb{C})/\mathrm{GL}_m(\mathbb{H})$
9. Secant varieties of flag varieties via Schur apolarity
10. Weyl defects in skein theory and quantum cluster charts
11. Lefschetz properties for monomial complete intersections
12. Representation Varieties of Stacks and Trace Maps
13. The Cuntz-Pimsner algebra of the simplest Motzkin subproduct system is 2-subhomogeneous
14. Local Ocneanu rigidity for separable algebra objects

arXiv math.RTの新着論文34本をご紹介します。

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

1. Thick subcategories over weakly symmetric algebras with radical cube zero
2. A Note on Additive Diameter
3. PAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM Retrieval
4. Criteria for discrete decomposability and admissibility in the branching problem
5. A hereditary theorem for rigid and pseudorigid components of Lusztig's nilpotent varieties in type $A$
6. Invariant Jacobian and the Center of a Homogeneous Form
7. Derived Reconstruction of Semisimple Tensor and Module Categories
8. Koszul duality for finite-dimensional absolutely Koszul algebras
9. A short note on Arthur parameters with singular orbit closures
10. Affine and cyclotomic Brauer categorification via $\imath$-Kac--Moody $2$-categories: the half-integral type $\operatorname{AIII}$ case
11. Representation and Extending structure of a Multiplicative Lie algebra
12. $q$-Oper Structures on a Formal Punctured Disc
13. Quasi-projective dimension and Gorenstein projective dimension
14. Splitting torsion classes in higher homological algebra
15. Atomic Decompositions of Lie Characters and the Dominant Weight Poset
16. Quasi-split iYangians: minimalistic presentations and coideal structures
17. Presenting mirabolic quantum Schur algebras $\mathcal{MS}_v(2,d)$
18. Essential algebra of the shifted Burnside biset functor with abelian shift
19. The Auslander-Reiten conjecture for algebras with radical cube zero
20. From Pre-triangulation to Triangulation: Obstructions and Exact Lifting
21. Partial $F$-invariants and cluster categorifications
22. Symplectic Dirac operators on homogeneous spaces
23. Mutation Sequences along Weaves and Amalgamation of Braid Varieties
24. Iterative construction of the R-matrices in arbitrary dimensions
25. Cohomology theory of Novikov algebras and applications
26. Ranks of Verdier quotients of derived categories over local rings
27. Permutation Representations on Cohomology of Toric Varieties
28. Thickening realization and positivity properties of canonical bases
29. Constructing the Monopole Formula for $A$-Type Good Quivers via Quiver Yangians
30. Christoffel transform and symplectic skew Howe duality
31. Spherical DAHA as an algebra of framed BPS states
32. Cohomological Hall algebras and Quot schemes of curves
33. On the unitary cohomology of semisimple groups
34. Rook characters as symmetric functions