• Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. Verma modules can be used...
    24 KB (4,330 words) - 04:55, 2 June 2024
  • In mathematics, generalized Verma modules are a generalization of a (true) Verma module, and are objects in the representation theory of Lie algebras...
    11 KB (1,785 words) - 02:14, 4 January 2024
  • Thumbnail for Virasoro algebra
    n_{k}} and k ≥ 0 {\displaystyle k\geq 0} form a basis of the Verma module. The Verma module is indecomposable, and for generic values of h and c it is also...
    20 KB (3,222 words) - 13:15, 5 June 2024
  • module with highest weight λ is a quotient of the Verma module M(λ). This is just a restatement of universality property in the definition of a Verma...
    22 KB (3,339 words) - 16:22, 15 May 2024
  • representations exist if the Verma module is reducible, and they are quotients of the Verma module by its nontrivial submodules. If a Verma module is reducible, any...
    31 KB (5,418 words) - 13:46, 21 December 2023
  • dimensional representations of semisimple Lie algebras, given by Verma modules and simple modules. This analogy, and the work of Jens Carsten Jantzen and Anthony...
    24 KB (3,322 words) - 10:34, 18 June 2024
  • Varma (surname) (redirect from Verma)
    mathematician after whom Verma modules are named Deepak Verma, British actor, writer and producer Deven Verma, Indian actor Dhirendra Verma, 20th-century Indian...
    14 KB (1,679 words) - 11:57, 23 August 2024
  • Romsdal county, Norway Varma (disambiguation) Varman (disambiguation) Verma module, a type of mathematical object in the representation theory of Lie algebras...
    667 bytes (122 words) - 02:52, 19 May 2023
  • Thumbnail for Representation theory of semisimple Lie algebras
    {g}}} with highest weight λ {\displaystyle \lambda } known as a Verma module. The Verma module then has a maximal proper invariant subspace U λ {\displaystyle...
    28 KB (4,247 words) - 04:38, 20 August 2024
  • theory, a Jantzen filtration is a filtration of a Verma module of a semisimple Lie algebra, or a Weyl module of a reductive algebraic group of positive characteristic...
    3 KB (297 words) - 06:43, 23 June 2022