The characters and structure of a class of modular representation algebras of cyclic p-groups [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractLet p,m be the modular representation algebra of the cyclic group of order pm over the prime field Zp. The characters of p, m are derived. For p = 2, this provides an alternative proof of a result due to Carlson (1975), tha 2,m is a local ring. It is shown that for p>2, p, m is a direct sum of 2m local rings.
openaire +2 more sources
Topological Vertex, String Amplitudes and Spectral Functions of Hyperbolic Geometry [PDF]
, 2014 We discuss the homological aspects of the connection between quantum string generating function and the formal power series associated to the dimensions of chains and homologies of suitable Lie algebras.
Guimaraes, M. E. X. +2 more
core +2 more sources
Superconformal Algebras and Mock Theta Functions
, 2009 It is known that characters of BPS representations of extended superconformal algebras do not have good modular properties due to extra singular vectors coming from the BPS condition.
Andrews G E +12 more
core +1 more source
Grothendieck ring and Verlinde-like formula for the W-extended logarithmic minimal model WLM(1,p)
, 2009 We consider the Grothendieck ring of the fusion algebra of the W-extended logarithmic minimal model WLM(1,p). Informally, this is the fusion ring of W-irreducible characters so it is blind to the Jordan block structures associated with reducible yet ...
Pearce, Paul A. +2 more
core +1 more source
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
doaj +1 more source
SL(2,R) Chern-Simons Theories with Rational Charges and Two-dimensional Conformal Field Theories
, 1992 This paper (completed March 1992) is an extensively revised and expanded version of work which appeared July 1991 on the initial incarnation of the hepth bulletin board, and which was published in the Proceedings of the Workshop on String Theory, Trieste,
Axelrod +24 more
core +1 more source
Mock Modular Mathieu Moonshine Modules [PDF]
, 2015 We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with distinguished mock modular forms.
Cheng, Miranda C. N. +5 more
core +2 more sources
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
FEBS Letters, EarlyView.Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
Kazhdan--Lusztig-dual quantum group for logarithmic extensions of Virasoro minimal models
, 2007 We derive and study a quantum group g(p,q) that is Kazhdan--Lusztig-dual to the W-algebra W(p,q) of the logarithmic (p,q) conformal field theory model. The algebra W(p,q) is generated by two currents $W^+(z)$ and $W^-(z)$ of dimension (2p-1)(2q-1), and ...
A. M. Gainutdinov +7 more
core +1 more source
Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source