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Longer titles found: Representation theory of semisimple Lie algebras (view), Serre's theorem on a semisimple Lie algebra (view)

searching for Semisimple Lie algebra 16 found (143 total)

alternate case: semisimple Lie algebra

Harish-Chandra homomorphism (163 words) [view diff] exact match in snippet view article find links to article

homomorphism from a subalgebra of the universal enveloping algebra of a semisimple Lie algebra to the universal enveloping algebra of a subalgebra. A particularly

Vogan diagram (74 words) [view diff] exact match in snippet view article find links to article

after David Vogan, is a variation of the Dynkin diagram of a real semisimple Lie algebra that indicates the maximal compact subgroup. Although they resemble

Blattner's conjecture (890 words) [view diff] exact match in snippet view article find links to article

classification of irreducible Harish-Chandra modules of any real semisimple Lie algebra. Enright, Thomas J; Varadarajan, V. S. (1975), "On an infinitesimal

Harish-Chandra's regularity theorem (947 words) [view diff] exact match in snippet view article find links to article

(1964b), "Invariant differential operators and distributions on a semisimple Lie algebra", American Journal of Mathematics, 86: 534–564, doi:10.2307/2373023

Algebra bundle (194 words) [view diff] exact match in snippet view article find links to article

Kiranagi, B.S.; Ranjitha, Kumar; Prema, G. (2014), "On completely semisimple Lie algebra bundles", Journal of Algebra and Its Applications, 14 (2): 1–11

Yozo Matsushima (700 words) [view diff] exact match in snippet view article find links to article

Hans Zassenhaus was false. Zassenhaus had conjectured that every semisimple Lie algebra L over a field of prime characteristic, with [L, L] = L, is the

Demazure module (812 words) [view diff] exact match in snippet view article find links to article

weight, called a Demazure polynomial. Suppose that g is a complex semisimple Lie algebra, with a Borel subalgebra b containing a Cartan subalgebra h. An

Manin triple (540 words) [view diff] exact match in snippet view article find links to article

invariant. Suppose that a {\displaystyle {\mathfrak {a}}} is a complex semisimple Lie algebra with invariant symmetric bilinear form ( ⋅ , ⋅ ) {\displaystyle

Kontsevich invariant (938 words) [view diff] exact match in snippet view article find links to article

the weight system. They have the following properties: Let g be a semisimple Lie algebra and ρ its representation. We obtain a weight system by "substituting"

Lie algebra bundle (545 words) [view diff] exact match in snippet view article find links to article

Kiranagi, B. S.; Kumar, Ranjitha; Prema, G. (2015). "On completely semisimple Lie algebra bundles". Journal of Algebra and Its Applications. 14 (2): 1550009

Automorphism of a Lie algebra (714 words) [view diff] exact match in snippet view article find links to article

Borel–Morozov theorem states that every solvable subalgebra of a complex semisimple Lie algebra g {\displaystyle {\mathfrak {g}}} can be mapped to a subalgebra

Thomas Jones Enright (732 words) [view diff] case mismatch in snippet view article find links to article

Enright, Thomas J (1979). "On the Fundamental Series of a Real Semisimple Lie Algebra: Their Irreducibility, Resolutions and Multiplicity Formulae". Annals

Coxeter element (1,641 words) [view diff] exact match in snippet view article find links to article

number of roots; and 2m+n is the dimension of the corresponding semisimple Lie algebra. If the highest root is ∑ m i α i {\displaystyle \sum m_{i}\alpha

Maximal compact subgroup (1,762 words) [view diff] exact match in snippet view article find links to article

& Neeb (2012). Let g {\displaystyle {\mathfrak {g}}} be a real semisimple Lie algebra with Cartan involution σ. Thus the fixed point subgroup of σ is

Springer correspondence (826 words) [view diff] exact match in snippet view article find links to article

primitive ideals in the universal enveloping algebra of a complex semisimple Lie algebra, both as a general principle and as a technical tool. Many important

Mutation (Jordan algebra) (15,817 words) [view diff] exact match in snippet view article

holomorphic symmetries of X. They form a finite-dimensional complex semisimple Lie algebra. The restriction of these vector fields to X0 can be described explicitly