プレプリどんどん: math.RT

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/2026-04-30/

1. Unitary representations and von Neumann's continuous geometries
2. On simple transposed Poisson algebras
3. The dynamical algebra of the generic superintegrable model on the two-sphere
4. Quantum Flat Connections, KZ equations, and Integrability
5. Metrics on triangulated categories and restrictions of (co)-$t$-structures

arXiv math.RTの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-rt/episodes/2026-04-29/

1. The category of Whittaker modules over the Cartan Type Lie algebra $\bar{S}_2$
2. The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
3. Stability of Multiplicities in Symmetry Breaking: The sl_2 Case
4. $B'$-orbits on flag varieties and symmetry breaking
5. Chebyshev quotients, Demazure multiplicities, and Dyck-path models
6. Level-rank dualities and moving vectors
7. Representations of Super Yangians with Gelfand-Tsetlin bases
8. Faithful perversities
9. Atom spectra of symmetric monoidal abelian categories and classification of subcategories
10. Lie pairs and formal Lie groups
11. The coordinate ring of the universal centralizer via Demazure operators
12. Reciprocity and the Maslov Phase
13. Partition division maps, symmetric functions and positivity
14. Liouville Blocks from Spectral Networks
15. Derivations on the triplet $W$-algebras with $\mathfrak{sl}_2$-symmetry

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/2026-04-28/

1. The coloured mutation class of $\mathbb{D}_n$- quivers and their application to $m$-cluster tilted algebras
2. Chains of model structures arising from cotorsion pairs on extriangulated categories
3. Super-Chevalley Restriction and Relative Lie Algebra Cohomology over the 2|3 Algebra
4. The Main Problem of Block Theory: Picky Elements and Subnormalizers
5. On classical doubling method gamma factors for certain depth zero representations
6. Core abaci and Diophantine equations I: fundamental weight
7. The Cutoff Profile for Random Transpositions on Repeated Cards in the Full Range of Parameters
8. A representation-theoretic interpretation of the Schur expansion of two-row genomic Schur functions

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/2026-04-27/

1. Irreducible representations of conjugacy quandles
2. Stability of Branching Multiplicities for Orthogonal Gelfand Pairs
3. Degeneration order of $3\times 3$ nilpotent matrix tuples
4. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
5. Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)
6. Asymptotic behaviour of analytic torsion and cohomological torsion for $\mathbb{Q}$-rank $1$ arithmetic groups

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/2026-04-24/

1. Lectures on singularity categories
2. Strong factorization theorem for smooth vectors of exponential solvable Lie group representations
3. Quantization of nilpotent coadjoint $GL_N$-orbit closures in positive characteristics
4. The Representation Type of the Descent Algebras
5. Lusztig constants and endoscopy
6. Twisted Kazhdan-Lusztig conjecture for $p$-adic general linear group
7. Orthosymplectic quantum groups revisited
8. Representation growth of quasi-semisimple profinite groups
9. On the induction functor from group algebras to distribution algebras

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/2026-04-23/

1. Koszul duality for quadratic monomial algebras
2. Multivariable Vandermonde determinants, amalgams of matrices and Specht modules
3. Representation Cohomology of a Small Category
4. Unitary highest weight modules for $\mathfrak{su}(p, q)$ and $\mathfrak{so}^{*}(2n)$ with fixed integral infinitesimal character
5. Almost finitary birepresentation theory and applications to affine Soergel bimodules
6. Universal $2$-parameter $\mathcal{N}=2$ supersymmetric $\mathcal{W}_{\infty}$-algebra
7. Quantum Super Littlewood Correspondences
8. Extensions of inertial blocks
9. On the cohomology of finite tensor categories
10. Trivial extensions of Koszul Artin-Schelter regular algebras

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/2026-04-22/

1. Kazhdan-Lusztig Basis and Optimization
2. Ore's theorem for thick subcategories
3. On Universal Virtual and Welded Braid Groups and Their Linear Representations
4. Verma Bases and Kashiwara-Nakashima Tableaux of $\mathfrak{sp}_4$
5. Verma Bases for finite dimensional Representations of the orthosymplectic Lie superalgebra $\mathfrak{spo}(4|1)$
6. Computing the Cousin-Zuckerman Resolution and the Lusztig-Vogan Bijection
7. Fractionally Calabi-Yau algebras and cluster tilting

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/2026-04-21/

1. A Non-graded Koszul Duality and Its Applications
2. Graded characters, demazure multiplicities, and chebyshev polynomials
3. Notes on Chevalley Groups and Root Category III: the Region of Total Positivity
4. Permutation, stabilization and decomposition
5. Pointwise character bounds for $\mathrm{SU}(3)$
6. The interval neighborhoods in the real Grothendieck groups
7. Homological Aspects of Separable Extensions of Triangulated Categories
8. The Reverse Tableaux: a Gateway to the Surjectivity of the Component Map
9. Simple modules over truncated current Lie algebras of the Witt algebra
10. A remark on an integral structure of the imperfect coefficient ring of $(\varphi,\Gamma)$-modules
11. On quantum functionals for higher-order tensors
12. Kernel-Preserving Dynamics and Symmetry Classification for Synchronization Subspaces

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/2026-04-20/

1. $D$-bialgebras, dendrification and embeddings into AWB of almost Poisson algebras
2. Soergel calculus for monodromic Hecke categories
3. Matsuki duality for loop groups
4. Wedderburn decomposition of the rational group algebras of $\operatorname{SL}_2(q)$ and $\operatorname{PSL}_2(q)$
5. On Word Representations and Embeddings in Complex Matrices
6. Masures associated with split Kac--Moody groups over valued fields
7. Chevalley property of module-finite Hopf algebras and discriminant ideals
8. Universal dualities for Wilson loops in lattice Yang-Mills
9. Multisymmetric functions on eventually constant cyclic graphs