Some irreducible complex representations of a finite group with BN pair by Kilmoyer, Robert William, 1939-

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The Criticism of Atheistic Evolution by Farah Ramin

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Reconsidering the Self in Social Thought: Existential-Phenomenological and Dialogical Perspectives by Charalambos Tsekeris

“…Our critical historicising interrogation also highlights the inherently dialogical nature, character, and dynamics of the self in contemporary society, thus opening up the conceptual space to better grasp, theorise, and evaluate the irreducible complexity of self-formation.…”
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Beautiful the beauty—Dionne Brand’s Theory and Canisia Lubrin’s Voodoo Hypothesis by Alexei Perry Cox

“…Their works ask readers to enter into irreducible complexity as a form of attention. I posit that these black creative politics – in this poetry – are tied up in reading-work that can newly anticipate our global condition through ethical collectivity.…”
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Spatial-economic characterization of resilient urban destinations by Lew, Shian Loong

“…As an axiom, optimal destination resilience coincides with the highest irreducible complexity. Chapter 3 outlines the rule or heuristic to follow to estimate irreducibility at destinations. …”
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Navigating the Biocosmos: Cornerstones of a Bioeconomic Utopia by Wolfgang Onyeali, Michael P. Schlaile, Bastian Winkler

“…The biocosmos is an agroecological habitat system of irreducible complexity, a new human niche embedded into the local ecosystem.…”
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Traditional Values in Analytical Perspectives of Sociology by A. V. Shcherbina

“…The system paradigm in sociology conceptualizes the irreducible complexity of values: they are cultural objects, internalized by the individual, institutionalized in the social system. …”
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On Finite Groups with an Irreducible Character Large Degree by L. S. Kazarin, S. S. Poiseeva

“…Let G be a finite nontrivial group with an irreducible complex character χ of degree d = χ(1). It is known from the orthogonality relation that the sum of the squares of degrees of irreducible characters of G is equal to the order of G. …”
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Quantum Unique Ergodicity for Cayley Graphs of Quasirandom Groups by Magee, Michael, Thomas, Joe, Zhao, Yufei

“…Abstract A finite group G is called C-quasirandom (by Gowers) if all non-trivial irreducible complex representations of G have dimension at least C. …”
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A new characterization of some characteristically simple groups by Zohreh Sayanjali

“…Let $G$ be a finite group and $\mathrm{cd}(G)$ be the set of irreducible complex character degrees of $G$. It was proved that some finite simple groups are uniquely determined by their orders and their degree graphs. …”
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The one-way communication complexity of group membership by Le Gall, Francois, Tani, Seiichiro, Russell, Alexander, Aaronson, Scott

“…The problem can be solved with O(d[subscript max] · log|G|) communication, where d[subscript max] is the maximum of the dimensions of the irreducible complex representations of G. 3. For any prime p not dividing |G|, the problem can be solved with O(d[subscript max] · log p) communication, where d[subscript max] is the maximum of the dimensions of the irreducible Fp-representations of G.…”
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The Physics of the B Factories by Cowan, Ray Franklin, Dujmic, Denis, Fisher, Peter H., Henderson, Shawn Wesley, Koeneke, Karsten, Lang, M. I., Sciolla, Gabriella, Spitznagel, M., Taylor, Frank E., Yamamoto, R. K., Yi, M., Zhao, M., Zheng, Y., Yamamoto R. K.

“…In their classic paper, Kobayashi and Maskawa (1973,“KM”) pointed out that CP violation could be naturally incorporated into the Standard Model (SM) as an irreducible complex phase in the weak interaction quark-flavor-mixing matrix if the number of quark flavors was six. …”
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On the reducibility of induced representations for classical p-adic groups and related affine Hecke algebras by Ciubotaru, D, Heiermann, V

“…Let π be an irreducible smooth complex representation of a general linear p-adic group and let σ be an irreducible complex supercuspidal representation of a classical p-adic group of a given type, so that π ⊗ σ is a representation of a standard Levi subgroup of a p-adic classical group of higher rank. …”

Integrality, duality and finiteness in combinatoric topological strings by Robert de Mello Koch, Yang-Hui He, Garreth Kemp, Sanjaye Ramgoolam

“…Abstract A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension d R of any irreducible complex representation of G. We show that the integer ratios G 2 / d R 2 $$ {\left|G\right|}^2/{d}_R^2 $$ are combinatorially constructible using finite algorithms which take as input the amplitudes of combinatoric topological strings (G-CTST) of finite groups based on 2D Dijkgraaf-Witten topological field theories (G-TQFT2). …”
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Braided Hopf algebras, double constructions, and applications by Laugwitz, R

“…The main objects of this chapter are certain braided Drinfeld doubles over the Drinfeld double of an irreducible complex reflection group. We argue that these algebras are analogues of the Drinfeld-Jimbo quantum enveloping algebras in a setting relevant for rational Cherednik algebra. …”

Elekes-Szabó for groups, and approximate subgroups in weak general position by Martin Bays, Jan Dobrowolski, Tingxiang Zou

“…More precisely, given an irreducible complex algebraic surface $R$ in $\mathbb C^3$ that is non-degenerate in the sense that its projections to all three pairs of coordinates are dominant, if for every $N\ge 1$ one can find finite sets $A,B,C$ of $N$ complex numbers such that $|A\times B\times C \cap R| = N^{2-o(1)}$ as $N$ tends to infinity, then in fact $R$ is in coordinate-wise finite-to-finite correspondence with the graph $\{(x,y,xy) , x,y \in G\}$ of multiplication of a one-dimensional complex algebraic group $G$. …”
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