| Research Field |
Basic mathematics (algebra): Lie algebra and Lie groups are important branches of algebra today, and it has extensive and deep connections with many fields of mathematics and modern physics. Algebraic representation theory originated in the seventies of the twentieth century, and the main object of study is the structure of finitely generated modules and their modular categories on Artin algebras (especially finite-dimensional (associative) algebras over fields). Its main contents include quiver representations, Auslander-Reiten sequences and Auslander-Reiten quiver of modular categories, oblique modules and oblique algebras, Tame algebras (especially tubular algebras), trivial expansions, repetitive algebras, single-point expansions, derived categories of finite-dimensional algebras, Hall algebras, and many more. These contents formed the characteristic theory of algebraic representation theory. 2. Applied mathematics in mathematics: cryptography, algebraic coding. |
Honors obtained |
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| Academic Programs |
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Scientific research |
<p>
"[1] Yingjue Fang, Bingyong Sun,Godement-Jacquet L-functions and full theta lifts,Mathematische Zeitschrift, 289,594-604,2017 [2]Yingjue Fang, Binyong Sun,Chevalley’s Theorem for Affine Nash Groups，Journal of Lie Theory, 26, 359-369, 2016.<br>[3]Yingjue Fang, Gang Han, Binyong Sun, Conjugacy and element-conjugacy of homomorphisms of compact Lie groups, Pacific Journal of Mathematics, 283(1) 75-83,2016 <br>[4] 何辽, 方颖珏, 2-Calabi-Yau三角范畴中的丛倾斜对象, 四川大学学报（自然科学版）, 50(6), 1174-1178, 2013. <br>[5] Yingjue Fang , Binyong Sun, On Conjugacy Classes of Metaplectic groups. Journal of Number Theory, 131, 2078-2080, 2011. [6] Yingjue Fang, Liangang Peng, Generalized Heisenberg Algebras and Toroidal Algebras, Algebra Colloquium, 17（3）, 375-388, 2010.[7]Wang Biao,Fang Yingjue,Lin Honggang,Li Yi, The QV Signature Scheme Based on Conic Curves over Zn, Science China Series F:Information Sciences,52(4) 602-608,2009"<br><br></p> |
