Quiver Gauge Theories: Finitude and Trichotomoty by Yang-Hui He

“…Then, we utilise certain results from graph theory and axiomatic representation theory of path algebras to address physical issues such as the implication of graph additivity to finiteness of gauge theories, the impossibility of constructing completely IR free string orbifold theories and the unclassifiability of <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">N</mi> <mo>&lt;</mo> <mn>2</mn> </mrow> </semantics> </math> </inline-formula> Yang-Mills theories in four dimensions.…”
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Honeycombs from Hermitian Matrix Pairs by Glenn Appleby, Tamsen Whitehead

“…Knutson and Tao's work on the Horn conjectures used combinatorial invariants called hives and honeycombs to relate spectra of sums of Hermitian matrices to Littlewood-Richardson coefficients and problems in representation theory, but these relationships remained implicit. …”
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GTPack: A Mathematica Group Theory Package for Application in Solid-State Physics and Photonics by R. Matthias Geilhufe, Wolfram Hergert

“…The content ranges from basic group theory and representation theory to more applied methods like crystal field theory, tight-binding and plane-wave approaches capable for symmetry based studies in the fields of solid-state physics and photonics. …”
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Technology and Subjectivity: Social Representations of Digital Technologies shared in coping with the Covid-19 pandemic by Virgínia Renata Vilar da Silva, Viviane de Bona

“…For its cognitive and subjective character, the theoretical field that supports this study is the Social Representation Theory. The methodology of this research has a qualitative character, using the Technique of Free Association of Hierarchical Words (ABRIC, 2005), a strategy which conditions the respondents toahierarchyoftheterms based ontheirimportanceintherepresentationofthisgroup. …”
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Setting the background in discourse by Nicholas Asher, Laurent Prévot, Laure Vieu

“…In Segmented Discourse Representation Theory or SDRT (Asher, Lascarides, 2003), backgrounding relations were among the first to be considered (Lascarides, Asher, 1993). …”
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On properties of the lower central series of associative algebras by Abughazalah, Nabilah, Etingof, Pavel I

“…We give an accessible introduction into the theory of lower central series of associative algebras, exhibiting the interplay between algebra, geometry and representation theory that is characteristic for this subject, and discuss some open questions. …”
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Finite maximal tori by Han, Gang, Vogan, David A

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Z/m-graded Lie algebras and perverse sheaves, IV by Lusztig, George, Yun, Zhiwei

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Jordan decompositions of cocenters of reductive ����-adic groups by He, Xuhua, Kim, Ju-Lee

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ℤ/����ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra by Lusztig, George, Yun, Zhiwei

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Parabolic induction and restriction functors for rational Cherednik algebras by Bezrukavnikov, Roman, Etingof, Pavel I.

“…Parabolic induction and restriction functors play an important role in the representation theory of finite and affine Hecke algebras. …”
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On the Characters of Unipotent Representations of a Semisimple P-Adic Group by Kim, Ju-Lee, Lusztig, George

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Image restoration using sparse dictionary by Dai, Shi

“…This project aims to research on sparse representation theory and the concept of dictionary training and implement them to images to solve image denoising and image inpainting problems. …”
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Discourse transparency and the meaning of temporal locating adverbs by Altshuler, D

“…The analysis that I propose is implemented within Compositional Discourse Representation Theory. It illustrates how adverbial meaning can be integrated within a more general theory of temporal interpretation.…”

Understanding individual differences in theory of mind via representation of minds, not mental states by Conway, J, Catmur, C, Bird, G

“…The majority of work in this area focuses on mental state representation (‘theory of mind’), but has had limited success in explaining individual differences in this ability, and is characterized by the lack of a theoretical framework that can account for the effect of variability in the population of minds to which individuals are exposed. …”

Hirota-sato formalism on some nonlinear waves equations by Ali, Noor Aslinda, Abdul Aziz, Zainal

“…This theoretical framework or simply the Hirota–Sato formalism also reveals that the τ – function, which underlies the analytic form of soliton solutions of theses physically significant nonlinear waves equations, shall acts as the key function to express the solutions of Sato equation. From representation theory of groups, it is shown that the τ – function in the bilinear forms of Hirota scheme are closely connected to the Plucker relations in Sato theory. …”
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Embedding the outer chain movement for main partition of β-number with length [1, 0, 0,…] by Mohommed, Eman F., Ibrahim, Haslinda, Ahmad, Nazihah, Mahmood, Ammar Seddiq

“…One of the graphical representations for any partition of a non-negative integers in the modular representation theory of diagram algebra is James abacus using Beta numbers.In this work James abacus is divided positions into several chains. …”
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Classification of 1-absorbing comultiplication modules over a pullback ring by Farkhondeh Farzalipour, Peyman Ghiasvand

“…One of the aims of the modern representation theory is to solve classification problems for subcategories of modules over a unitary ring R. …”
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Neo-Exoticism Discourses in Indonesian Online Media: Normalizing Cultural Tourism Regime amid Market Economy by Ikwan Setiawan, Albert Tallapessy, Andang Subaharianto

“…Drawing on online news media research, we show how the transformation of ethnic cultures in Banyuwangi, East Java, Indonesia were positioned as the basis of various tourism events using the representation theory with the discursive constructionist approach. …”
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Partially massless fields during inflation by Daniel Baumann, Garrett Goon, Hayden Lee, Guilherme L. Pimentel

“…Abstract The representation theory of de Sitter space allows for a category of partially massless particles which have no flat space analog, but could have existed during inflation. …”
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