プレプリどんどん: math.RT

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/2026-06-11/

1. The Harish-Chandra isomorphism for supersymmetric spaces and ghost distributions
2. Gelfand--Kirillov dimensions of highest weight modules for basic classical Lie superalgebras
3. Singular Hochschild complex and Cartan matrix
4. $\tau$-tilting modules, depth and delooping level
5. A new proof for the partition algorithm of the annihilator varieties of highest weight modules
6. A Hecke algebra isomorphism over close local fields for metaplectic groups
7. Canonical Bernstein-Zelevinsky Filtration and Casselman's Comparison Conjecture
8. Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics
9. On Terwilliger $\mathbb{F}$-algebras of factorial association schemes II
10. Special Matchings, Brenti's Conjecture, and the Combinatorial Invariance Conjecture
11. Matrix Discrepancy for Representations of Finite 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/2026-06-10/

1. Tilting modules for the Cummings construction
2. Spin characters of the alternating group which are proportional to linear characters in characteristic 2
3. Spin characters of symmetric and alternating groups which are proportional in characteristic 3
4. Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
5. A generic categorical local Langlands correspondence for quasi-split reductive groups
6. The crystalline cohomology of covers with a cyclic $p$-Sylow subgroup
7. A quiver approach to quasi-quantum groups with the Chevalley property
8. Derived skein module

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/2026-06-09/

1. From Characters to Matrices: An Elementary Construction of Irreducible Representations of Finite Groups
2. Associated varieties of simple affine vertex algebras at rational levels
3. Wavefront sets and descent method for finite classical groups
4. Non-abelian hypercohomology of a group with coefficients in a crossed module, and Galois cohomology
5. Equivariant compactifications, trivial embeddability and finite type
6. Cocompletions for non-abelian vertex tensor categories
7. Octonionic structure operator and its right spectrum
8. Newton--Okounkov bodies of partial flag varieties via cluster algebras
9. Bialgebra theory, the Yang-Baxter equation and relative Rota-Baxter operators for diassociative algebras
10. Notes on gamma invariants of finite dimensional Hopf algebras
11. Real algebraic varieties and their intersection cohomology

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/2026-06-08/

1. On universal deformation rings and stable equivalences of Gorenstein-projective modules
2. On representations of GL(n) distinguished by GL(1)*GL(n-1) over a quaternion division algebra
3. Whittaker Category and Finite W-superalgebras for Cartan Type Lie Superalgebras
4. Widths of regular components for n-regular tree $T(n)$
5. Fourier positivity for spherical functions I: split tori and spherical principal series
6. Geometric Factorization of Sufficient Harmonic Representations
7. A Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves
8. On a Small Version of the Reflection Equation Algebra

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/2026-06-05/

1. Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type
2. A problem on Hecke algebras for $\mathrm{GL}_n(F)$ for $n>2$ over $p$-adic field $F$
3. Frobenius--Perron dimension and tensor products of algebras
4. Arithmetic Wavefront Set and Microlocal Structure of Harish-Chandra Character
5. Abelian envelopes for interpolation categories of wreath products from monoidal adjunctions
6. Dirac operators for infinite-dimensional color Lie algebras
7. Local Weyl modules and skew Howe duality
8. Stability of the smooth Casselman-Jacquet functor
9. The spectrum of the bosonic ambitwistor string revisited
10. Benchmarks in Leipzig
11. Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts
12. On strong identities of almost-canonically seminormed rings
13. Quot spaces in tilted hearts and Hall algebra modules

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/2026-06-04/

1. The subnormaliser conjecture and unipotent characters
2. Whittaker constructions for quantum affine algebras
3. Stokes phenomenon and quantum supergroup $U_q(\mathfrak{gl}(m|n))$
4. Cyclic source pairings for Penrose--Sparling non-Hausdorff twistor spaces
5. Center and derivations of generalized Weyl algebras over $\mathbb{Z}/p^n\mathbb{Z}.$
6. Correspondence of discrete series representations of $\mathrm{GSp}_{2n}$ and its inner form
7. The Azumification of orders

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/2026-06-03/

1. On higher extensions of quiver representations over $\mathbb{F}_1$
2. Towards the Relative Langlands Duality for Orthosymplectic Pairs
3. Commutativity via Spectral Equivalences of the Jordan Product in Banach Algebras
4. On cellularity of Hecke Algebras for Wreath Products
5. The Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory
6. A structural reduction for the symmetric hit problem in four variables
7. On the gap of quiver representations
8. On a conjecture concerning totally extremal ideal Perron similarities
9. On maximal Dynkin friezes
10. Uncrowding the 5-Vertex Model: RSK and Crystal Structures
11. Neural Networks Provably Learn Spectral Representations for Group Composition

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/2026-06-02/

1. Kleshchev multipartitions, affine Mirkovi\'c-Vilonen polytopes, and representations of KLR algebras in type ${\tt A}^{(1)}_1$
2. AHA! RSK
3. Classifying subcategories of a Grothendieck category via its spectral category
4. Weyl algebras on Braverman-Kazhdan spaces
5. Wide Regular Subalgebras of Symmetrizable Kac-Moody Algebras and an Extension of Schur's Lemma
6. Perverse filtration on the cohomology of affine Springer fibers
7. The Unitarity of Arthur Packets for Real Reductive Groups
8. Presentations for categories of crystals
9. On rational representations and rational group algebra of $\operatorname{GL}_2(q)$
10. Folding shuffle algebras and twisted $q$-characters
11. $(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$
12. Properties of deformed mass and phase functions
13. Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$
14. The conflated expression graph for an arbitrary permutation
15. The categorical local Langlands conjecture
16. Band Bases as Common Triangular Bases in Cluster Algebras from Surfaces
17. Stable Degeneration, Non-degenerate Forms, and Kaledin's Conjecture
18. Hybrid Clifford Codes via Operator Algebra Quantum Error Correction and Projective Representation Theory

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/2026-06-01/

1. The classification of integral endotrivial complexes
2. Multi-welded twin groups
3. Descent and finite permutation resolutions for discrete groups
4. On integral forms for vertex superalgebras associated with affine Lie superalgebras and their modules
5. On the geometry of Certain Non-Basic Affine Deligne-Lusztig Varieties
6. Integrality of Averages of Roots of Unity and Perfect Isometries

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/2026-05-29/

1. Reduction of Symmetry in Quaternionic Analysis and Invariant Trilinear Forms
2. Components of $V(m\rho) \otimes V(n\rho)$
3. Algorithm to check Maximum Likelihood Estimate Existence for integrated PCA
4. The Hamilton-Jacobi Theory of Deep Learning
5. Open Problem: Separating Geometric and Algorithmic Compression via Cayley-Table Completion
6. Modular invariance of characters of quasi-lisse vertex algebras
7. Corner Quantization of 4D $BF$ Theory