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• Generalized Cartan matrix
  ==Cartan matrix of a simple Lie algebra== * In semi-simple Lie theory, a cartan matrix is a square matrix
  3 KB (498 단어) - 2021년 2월 17일 (수) 02:33
• Strange identity of Freudenthal-de Vries
  * H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969. [[분류:Lie theory]]
  1 KB (125 단어) - 2021년 2월 17일 (수) 02:56
• Harish-Chandra module
  [[분류:Lie theory]]
  419 바이트 (41 단어) - 2021년 2월 17일 (수) 02:07
• Modular representation theory of algebraic groups
  \DeclareMathOperator{\Lie}{Lie} ...gebras over the complex numbers, or even compact real Lie groups. As with Lie algebras, such algebraic groups are classified up to isogeny by their root
  3 KB (499 단어) - 2020년 11월 13일 (금) 04:20
• ODE/IM correspondence
  * Stefano Negro, Lectures on Integrable Structures in Quantum Field Theory and Massive ODE/IM Correspondence, arXiv:1606.02952 [math-ph], June 09 2016 ...mondo, and Daniele Valeri. “Bethe Ansatz and the Spectral Theory of Affine Lie Algebra--Valued Connections. The Non Simply--Laced Case.” arXiv:1511.0089
  2 KB (186 단어) - 2020년 11월 16일 (월) 05:32
• Seminar topics on affine Lie algebras
  ...e.com.au/books?id=_0zyWYJGUakC&printsec=frontcover&dq=Application+of+group+theory+in+physics+and+mathematical+physics&source=bl&ots=q5F83jIVbm&sig=ii3X3aeugp [[분류:Lie theory]]
  760 바이트 (105 단어) - 2020년 11월 16일 (월) 05:28
• 블라디미르 아놀드
  [http://www.institut.math.jussieu.fr/seminaires/singularites/abel.pdf Abel’s theory and modern Mathematics] ...s, partial derivative equations, Lie groups and algebra theory, cohomology theory and scientific computing. Celestial mechanics is the origin of dynamical sy
  2 KB (354 단어) - 2020년 12월 28일 (월) 03:27
• Strong Macdonald theorems
  ...a diagram automorphism twist. These twisted strong Macdonald theorems are Lie algebra cohomology versions of Macdonald's constant term conjecture for twi * [[Lie algebra cohomology]]
  2 KB (335 단어) - 2020년 12월 28일 (월) 05:17
• Elements of finite order (EFO) in Lie groups
  * explicit formulas for the number of conjugacy classes of EFOs in Lie groups * appears for the number of certain vacua in the quantum moduli space of M-theory compactifications on manifolds of <math>G_2</math> holonomy
  1 KB (200 단어) - 2020년 11월 14일 (토) 02:03
• BRST quantization and cohomology
  * [[Gauge theory|gauge theory]] = principal G-bundle * we require a quantization of gauge theory
  6 KB (815 단어) - 2021년 2월 17일 (수) 03:01
• Volume of a compact Lie group
  ...e functions <math>J_\lambda(x)</math> play a central role in random matrix theory. ...ersi, and Peter J. Forrester. “A. Hurwitz and the Origins of Random Matrix Theory in Mathematics.” arXiv:1512.09229 [math-Ph], December 31, 2015. http://ar
  2 KB (333 단어) - 2020년 11월 13일 (금) 07:38
• Finite dimensional representations of Sl(2)
  [[분류:Lie theory]]
  615 바이트 (51 단어) - 2020년 12월 28일 (월) 05:21
• Vector valued differential forms
  ==exercise from Chern-Simons theory== * [[Chern-Simons gauge theory and invariant|Chern-Simons invariant]]
  2 KB (267 단어) - 2021년 2월 17일 (수) 02:40
• BGG reciprocity
  [[분류:Lie theory]]
  648 바이트 (67 단어) - 2020년 11월 13일 (금) 07:51
• Heisenberg group and Heisenberg algebra
  ...entral extension of groups and Lie algebras|central extension]] of abelian Lie algebra * define a Lie bracket<math>[d,x]=d(x)</math>
  4 KB (568 단어) - 2021년 2월 17일 (수) 03:13
• Baum-Connes conjecture
  ...dentifying the K-theory of a group C∗-algebra, be it a discrete group or a Lie group (or the C∗-algebra of a foliation), and a topological group of equi
  553 바이트 (70 단어) - 2021년 2월 17일 (수) 02:17
• Miura transform for W-algebra
  * Bouwknegt, P., and K. Schoutens. “W-Symmetry in Conformal Field Theory.” Physics Reports 223, no. 4 (February 1993): 183–276. doi:10.1016/0370 ..., and Sergei Igonin. “Miura-Type Transformations for Lattice Equations and Lie Group Actions Associated with Darboux-Lax Representations.” arXiv:1512.09
  908 바이트 (90 단어) - 2020년 11월 13일 (금) 10:28
• Affine Kac-Moody algebras as central extensions of loop algebras
  * Construct the loop algebra from a finite dimensional Lie algebra * start with a semisimple Lie algebra <math>\mathfrak{g}</math> with invariant form <math>\langle \cdot,\
  3 KB (492 단어) - 2020년 11월 16일 (월) 11:01
• Gelfand-Tsetlin bases
  * [[Brauer-Weyl-Frobenius-Schur theory]] * Molev, A. I. 2002. “Gelfand-Tsetlin Bases for Classical Lie Algebras”. ArXiv e-print math/0211289. http://arxiv.org/abs/math/0211289.
  3 KB (388 단어) - 2021년 2월 17일 (수) 03:03
• 군의 작용
  ...hism.<ref name="ref_a94b01fa">[https://www.mathphysicsbook.com/mathematics/lie-groups/representations/group-actions/ Mathematics for Physics]</ref> ...mooth homomorphism from a Lie group \({G}\) to \({\textrm{Diff}(M)}\), the Lie group of diffeomorphisms of a manifold \({M}\).<ref name="ref_a94b01fa" />
  4 KB (616 단어) - 2021년 2월 17일 (수) 00:51

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