Carrollian superconformal theories and super BMS by Arjun Bagchi, Daniel Grumiller, Poulami Nandi

“…We provide the superspace formulation for N $$ \mathcal{N} $$ = 1 CSA and work towards an understanding of the representation theory of the algebra. We conclude with some aspects of N $$ \mathcal{N} $$ > 1 CSA.…”
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Computing associators of endomorphism fusion categories by Daniel Barter, Jacob C. Bridgeman, Ramona Wolf

“…Given a module category over the latter, we utilize the representation theory of a module tube category, built from the known data, to compute this unknown associator data. …”
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Poset binomials and rainbow characters by Daniel Bragg, Nathaniel Thiem

“…These coefficients arise naturally in the study of supercharacters of the finite groups of unipotent upper-triangular matrices, whose representation theory is dictated by the combinatorics of set partitions. …”
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Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions by Prasad Srijanani Anurag

“…Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral operator. …”
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Horizon temperature on the real line by Michele Arzano, Jerzy Kowalski-Glikman

“…Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. …”
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On an open problem of Green and Losonczy: exact enumeration of freely braided permutations by Toufik Mansour

“…Recently, Green and Losonczy~GL1,GL2 introduced \emphfreely braided permutation as a special class of restricted permutations has arisen in representation theory. The freely braided permutations were introduced and studied as the upper bound for the number of commutation classes of reduced expressions for an element of a simply laced Coxeter group is achieved if and only if when the element is freely braided. …”
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Gauge invariants, correlators and holography in bosonic and fermionic tensor models by Robert de Mello Koch, David Gossman, Laila Tribelhorn

“…Abstract Motivated by the close connection of tensor models to the SYK model, we use representation theory to construct the complete set of gauge invariant observables for bosonic and fermionic tensor models. …”
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Fuzzy de Sitter space by Maja Burić, Duško Latas, Luka Nenadović

“…The result is obtained in the Hilbert space representation, but using representation theory it can be generalized to all representations of the principal continuous series.…”
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A lattice model for condensation in Levin-Wen systems by Jessica Christian, David Green, Peter Huston, David Penneys

“…We also describe the classification of anyons in Levin-Wen models via representation theory of the tube algebra, and use a variant of the tube algebra to classify low-energy localized excitations in the condensed phase.…”
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A probabilistic approach of Liouville field theory by Rhodes, Rémi, Vargas, Vincent

“…In particular, we explain the probabilistic construction of this theory carried out by David–Kupiainen–Rhodes–Vargas in [] and how this construction connects to the modern and general approach of Conformal Field Theories in physics, called conformal bootstrap and based on representation theory.…”
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Perturbing AdS6 × w S 4: linearised equations and spin-2 spectrum by Achilleas Passias, Paul Richmond

“…The modes that saturate the bounds belong to short multiplets which we identify in the representation theory of the f4 $$ \mathfrak{f}(4) $$ symmetry superalgebra of the AdS6 × w S 4 solution.…”
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Perfecto simple y perfecto compuesto: de la gramática al discurso by Ignacio Moreno-Torres Sánchez

“…Using the framework provided by Discourse Representation Theory, we describe the semantics of these two tenses and we propose a representation for both of them. …”
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Semi-Standard Tableaux of Young Between Algebra and Computer Programming by Ammar Mahmood, Ayad Abdul Qader, Yahya Ibrahim

“…Since the representation theory start, the mathematics science especially in algebra began to open many new researches such our this one, we start from Schur algebra in his new representation described by Green [6], passing through his relation with semi-standard tableaux according to Green.…”
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On some algebraic formulations within universal enveloping algebras related to superintegrability by Rutwig Campoamor-Stursberg

“…In this context, two algebraic formulations are possible; a first one strongly dependent on representation theory, as well as a second formal approach that focuses on the explicit construction within commutants of algebraic integrals for appropriate algebraic Hamiltonians defined in terms of suitable subalgebras. …”
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Orthogonal bases of invariants in tensor models by Pablo Diaz, Soo-Jong Rey

“…Abstract Representation theory provides an efficient framework to count and classify invariants in tensor models of (gauge) symmetry G d = U(N 1) ⊗ · · · ⊗ U(N d ) . …”
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Character sheaves on disconnected groups, VIII by Lusztig, G

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On complete reducibility for infinite-dimensional Lie algebras by Gorelik, Maria, Kac, Victor

“…In this paper we study the complete reducibility of representations of infinite- dimensional Lie algebras from the perspective of representation theory of vertex algebras.…”
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K_0 and the dimension filtration for p-torsion Iwasawa modules by Ardakov, K, Wadsley, S

“…We study K-theoretic questions related to the representation theory of the completed group algebra kG of G with coefficients in a finite field k of characteristic p. …”

Spherically symmetric monopole solutions by Ganoulis, N, Ganoulis, Nikolaos

“…</p> <p>Using techniques from group representation theory, explicit solutions are obtained in the case of the principal embedding of the symmetry group SU(2) in the bigger gauge group. …”

Equivariant gerbes on complex tori by Ben-Bassat, O

“…We explore a new direction in representation theory which comes from holomorphic gerbes on complex tori. …”