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...
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In mathematics, generalized Verma modules are a generalization of a (true) Verma module, and are objects in the representation theory of Lie algebras...
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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...
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Weight (representation theory) (redirect from Highest weight module)
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...
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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...
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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...
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Romsdal county, Norway Varma (disambiguation) Varman (disambiguation) Verma module, a type of mathematical object in the representation theory of Lie algebras...
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{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