Results 1 to 10 of about 1,522 (244)
On the character of certain irreducible modular representations [PDF]
Representation Theory, 2015 Let G G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic
Lusztig, George
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Quasi-characters in $\widehat{su(2)}$ current algebra at fractional levels
SciPost Physics Core, 2023 We study the even characters of $\widehat{su(2)}$ conformal field theories (CFTs) at admissible fractional levels obtained from the difference of the highest weight characters in the unflavoured limit. We show that admissible even character vectors arise
Sachin Grover
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Spaces of states of the two-dimensional $O(n)$ and Potts models
SciPost Physics, 2023 We determine the spaces of states of the two-dimensional $O(n)$ and $Q$-state Potts models with generic parameters $n,Q\in \mathbb{C}$ as representations of their known symmetry algebras.
Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur
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Conformal characters and the modular representation [PDF]
Journal of High Energy Physics, 2006 17 ...
Bantay, Peter, Gannon, Terry
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Asymptotic distribution of traces of singular moduli
Discrete Analysis, 2022 Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
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BMS characters and modular invariance
Journal of High Energy Physics, 2019 We construct the characters for the highest weight representations of the 3d Bondi-Metzner-Sachs (BMS3) algebra. We reproduce our character formula by looking at singular limits from 2d CFT characters and find that our answers are identical to the ...
Arjun Bagchi, Amartya Saha, Zodinmawia
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A natural representation of the Fischer-Griess Monster with the modular function J as character [PDF]
Proceedings of the National Academy of Sciences, 1984 We announce the construction of an irreducible graded module V for an “affine” commutative nonassociative algebra [unk]. This algebra is an “affinization” of a slight variant [unk] of the commutative nonassociative algebra B defined by Griess in his construction of the Monster sporadic group
Frenkel, I. B. +2 more
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A character formula for a family of simple modular representations of $ GL_n $
Commentarii Mathematici Helvetici, 1999 Let K be an algebraically closed field of finite characteristic p , and let n\geq 1
Mathieu, Olivier, Papadopoulo, Georges
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FLIP: A Novel Feedback Learning-Based Intelligent Plugin Towards Accuracy Enhancement of Chinese OCR
MathematicsChinese Optical Character Recognition (OCR) technology is essential for digital transformation in Chinese regions, enabling automated document processing across various applications. However, Chinese OCR systems struggle with visually similar characters,
Xinyue Tao +3 more
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Generalised 4d partition functions and modular differential equations
Journal of High Energy PhysicsWe prove the equivalence of a class of generalised Schur partition functions 𝒵 G (q; α) of 4d 𝒩 = 2 superconformal gauge theories to contour integral representations of vector-valued modular forms of the type that arise in 2d rational conformal field ...
A. Ramesh Chandra +2 more
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