Pure Math · Mathematics & Statistics
Representation Theory
The newest papers in Representation Theory that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
14 papers, from 5 September 2026 to 3 November 2026: 14 arXiv preprints.
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Newest papers
Quantum error correcting codes from quiver moduli: Grassmannians, cyclic monodromy, and argyle collision divisors
Building on aspects of a recent diagrammatic field-theory programme for quantum error correction put forward by the first-named author (arXiv:2607.08911), we construct exact finite-dimensional codes…Nonlinear Maps Between Irreducible Representations in Graph Neural Networks
Equivariant linear maps cannot mix non-isomorphic irreducible representations, whereas nonlinear activations can.Super Howe duality and rigidity of hybrid Fourier transforms
We characterize the hybrid Fourier transform on the Schwartz--Grassmann space $\caS(\bbR^m)\otimesΛ_{2n}$ by operator intertwining relations.Degeneracy graph determinants and higher-dimensional Young diagrams
Kemp and Ramgoolam proposed a basis of monomials for a commutative semisimple algebra with generators \(C_1,\ldots, C_L\), constructed from a degeneracy graph which records how the eigenspaces of \(…The Quantum Character Transform
Bastidas et al. (2025) highlighted the importance of exploiting group symmetries to reduce computational overhead and unify simulation methods across both condensed matter physics and ab initio…Harmonic Reduction of Spin-Coupled Grover Walks on Hypercubes via Quantum Bernoulli Noises
We consider spin-coupled Grover walks on hypercubes within the framework of quantum Bernoulli noises (QBN).Clifford Invariants and Three-Copy Quantum Tests
We give an explicit treatment of the third tensor power of the Clifford representation on $n$ qutrits, for $n\geq2$.Harmonic analysis and circuit approximation of Sobolev functions on quantum input spaces
We derive approximation rates for Sobolev functions defined on the complex unit sphere and complex projective space, representing quantum states, and on the special and projective unitary groups…Robustness of quantum spectrum estimation: weak Schur sampling under noisy inputs
We initiate the study of weak Schur sampling (WSS) under noisy inputs.Lie Algebraic Uncertainty Relations
Uncertainty relations impose fundamental constraints on quantum observables, yet optimal bounds are needed to determine their incompatibility through the minimum attainable uncertainty.A mixing time method for estimating the sample complexity of quantum state discrimination
We develop a mixing time method for estimating the sample complexity of quantum state discrimination.Quantum gates from the middle convolution of twisted Burau representations
We study braid representations obtained from character-twisted Burau inputs by the Katz-Long-Moody (KLM) construction, which corresponds to multiplicative middle convolution for KZ-type equations.Graded Representation Theory of Equivariant Neural Networks
Nonlinear activations can create equivariant interactions between irreducible representations that linear maps cannot.PAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM Retrieval
Retrieval-augmented generation is usually formulated as a statistical information-retrieval problem.